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price elasticity of demand Related: #54, NUMERICALS - PRICE ELASTICIT...
1.𝙄𝙛 𝙩𝙝𝙚 𝙚𝙡𝙖𝙨𝙩𝙞𝙘𝙞𝙩𝙮 𝙤𝙛 𝙙𝙚đ™ĸ𝙖đ™Ŗ𝙙 𝙛𝙤𝙧 𝙘𝙤𝙡𝙡𝙚𝙜𝙚 𝙩𝙚𝙭𝙩𝙗𝙤𝙤𝙠𝙨 𝙞𝙨 -0.1, 𝙖đ™Ŗ𝙙 𝙩𝙝𝙚 đ™Ĩ𝙧𝙞𝙘𝙚 𝙤𝙛 𝙩𝙚𝙭𝙩𝙗𝙤𝙤𝙠𝙨 𝙞đ™Ŗ𝙘𝙧𝙚𝙖𝙨𝙚𝙨 𝙗𝙮 20%, 𝙝𝙤đ™Ŧ đ™ĸđ™Ē𝙘𝙝 đ™Ŧ𝙞𝙡𝙡 𝙩𝙝𝙚 đ™Ļđ™Ē𝙖đ™Ŗ𝙩𝙞𝙩𝙮 𝙙𝙚đ™ĸ𝙖đ™Ŗ𝙙𝙚𝙙 𝙘𝙝𝙖đ™Ŗ𝙜𝙚, 𝙖đ™Ŗ𝙙 𝙞đ™Ŗ đ™Ŧ𝙝𝙖𝙩 𝙙𝙞𝙧𝙚𝙘𝙩𝙞𝙤đ™Ŗ? *𝙖. 𝙏𝙝𝙚 đ™Ļđ™Ē𝙖đ™Ŗ𝙩𝙞𝙩𝙮 𝙙𝙚đ™ĸ𝙖đ™Ŗ𝙙𝙚𝙙 𝙞đ™Ŗ𝙘𝙧𝙚𝙖𝙨𝙚𝙨 𝙗𝙮 2%𝙗. 𝙏𝙝𝙚 đ™Ļđ™Ē𝙖đ™Ŗ𝙩𝙞𝙩𝙮 𝙙𝙚đ™ĸ𝙖đ™Ŗ𝙙𝙚𝙙 𝙙𝙚𝙘𝙧𝙚𝙖𝙨𝙚𝙨 𝙗𝙮 20%𝙘. 𝙏𝙝𝙚 đ™Ļđ™Ē𝙖đ™Ŗ𝙩𝙞𝙩𝙮 𝙙𝙚đ™ĸ𝙖đ™Ŗ𝙙𝙚𝙙 𝙙𝙚𝙘𝙧𝙚𝙖𝙨𝙚𝙨 𝙗𝙮 2%𝙙. 𝙏𝙝𝙚 đ™Ļđ™Ē𝙖đ™Ŗ𝙩𝙞𝙩𝙮 𝙙𝙚đ™ĸ𝙖đ™Ŗ𝙙𝙚𝙙 𝙧𝙚đ™ĸ𝙖𝙞đ™Ŗ𝙨 𝙩𝙝𝙚 𝙨𝙖đ™ĸ𝙚2.𝙄𝙛 𝙩𝙝𝙚 𝙚𝙡𝙖𝙨𝙩𝙞𝙘𝙞𝙩𝙮 𝙤𝙛 𝙙𝙚đ™ĸ𝙖đ™Ŗ𝙙 𝙛𝙤𝙧 𝙨đ™Ĩ𝙧𝙞đ™Ŗ𝙜 𝙗𝙧𝙚𝙖𝙠 đ™Ĩ𝙖𝙘𝙠𝙖𝙜𝙚𝙨 𝙩𝙤 𝘾𝙖đ™Ŗ𝙘đ™Ēđ™Ŗ 𝙞𝙨 -5, 𝙖đ™Ŗ𝙙 𝙞𝙛 𝙮𝙤đ™Ē đ™Ŗ𝙤𝙩𝙞𝙘𝙚 𝙩𝙝𝙖𝙩 𝙩𝙝𝙞𝙨 𝙮𝙚𝙖𝙧 𝙞đ™Ŗ 𝘾𝙖đ™Ŗ𝙘đ™Ēđ™Ŗ 𝙩𝙝𝙚 đ™Ļđ™Ē𝙖đ™Ŗ𝙩𝙞𝙩𝙮 𝙤𝙛 đ™Ĩ𝙖𝙘𝙠𝙖𝙜𝙚𝙨 𝙙𝙚đ™ĸ𝙖đ™Ŗ𝙙𝙚𝙙 𝙞đ™Ŗ𝙘𝙧𝙚𝙖𝙨𝙚𝙙 𝙗𝙮 10%, 𝙩𝙝𝙚đ™Ŗ đ™Ŧ𝙝𝙖𝙩 𝙝𝙖đ™Ĩđ™Ĩ𝙚đ™Ŗ𝙚𝙙 𝙩𝙤 𝙩𝙝𝙚 đ™Ĩ𝙧𝙞𝙘𝙚 𝙤𝙛 𝘾𝙖đ™Ŗ𝙘đ™Ēđ™Ŗ đ™Ģ𝙖𝙘𝙖𝙩𝙞𝙤đ™Ŗ đ™Ĩ𝙖𝙘𝙠𝙖𝙜𝙚𝙨? *𝙖. 𝙏𝙝𝙚 đ™Ĩ𝙧𝙞𝙘𝙚 𝙛𝙚𝙡𝙡 𝙗𝙮 10 đ™Ĩ𝙚𝙧𝙘𝙚đ™Ŗ𝙩𝙗. 𝙏𝙝𝙚 đ™Ĩ𝙧𝙞𝙘𝙚 𝙛𝙚𝙡𝙡 𝙗𝙮 2 đ™Ĩ𝙚𝙧𝙘𝙚đ™Ŗ𝙩𝙘. 𝙏𝙝𝙚 đ™Ĩ𝙧𝙞𝙘𝙚 𝙞đ™Ŗ𝙘𝙧𝙚𝙖𝙨𝙚𝙙 𝙗𝙮 2 đ™Ĩ𝙚𝙧𝙘𝙚đ™Ŗ𝙩𝙙. 𝙏𝙝𝙚 đ™Ĩ𝙧𝙞𝙘𝙚 𝙧𝙚đ™ĸ𝙖𝙞đ™Ŗ𝙚𝙙 𝙩𝙝𝙚 𝙨𝙖đ™ĸ𝙚3.𝙄đ™Ŗ 𝙮𝙤đ™Ē𝙧 𝙘𝙤𝙡𝙡𝙚𝙜𝙚 𝙩𝙤đ™Ŧđ™Ŗ, 𝙧𝙚𝙖𝙡 𝙚𝙨𝙩𝙖𝙩𝙚 𝙙𝙚đ™Ģ𝙚𝙡𝙤đ™Ĩ𝙚𝙧𝙨 𝙖𝙧𝙚 𝙗đ™Ē𝙞𝙡𝙙𝙞đ™Ŗ𝙜 𝙩𝙝𝙤đ™Ē𝙨𝙖đ™Ŗ𝙙𝙨 𝙤𝙛 đ™Ŗ𝙚đ™Ŧ 𝙨𝙩đ™Ē𝙙𝙚đ™Ŗ𝙩-𝙛𝙧𝙞𝙚đ™Ŗ𝙙𝙡𝙮 𝙖đ™Ĩ𝙖𝙧𝙩đ™ĸ𝙚đ™Ŗ𝙩𝙨 𝙘𝙡𝙤𝙨𝙚 𝙩𝙤 𝙘𝙖đ™ĸđ™Ĩđ™Ē𝙨. 𝙄𝙛 𝙮𝙤đ™Ē đ™Ŧ𝙖đ™Ŗ𝙩 𝙩𝙤 đ™Ĩ𝙖𝙮 𝙩𝙝𝙚 𝙡𝙤đ™Ŧ𝙚𝙨𝙩 𝙧𝙚đ™Ŗ𝙩 đ™Ĩ𝙤𝙨𝙨𝙞𝙗𝙡𝙚, 𝙨𝙝𝙤đ™Ē𝙡𝙙 𝙮𝙤đ™Ē 𝙝𝙤đ™Ĩ𝙚 𝙩𝙝𝙖𝙩 𝙙𝙚đ™ĸ𝙖đ™Ŗ𝙙 𝙛𝙤𝙧 𝙖đ™Ĩ𝙖𝙧𝙩đ™ĸ𝙚đ™Ŗ𝙩𝙨 𝙞𝙨 𝙚𝙡𝙖𝙨𝙩𝙞𝙘 𝙤𝙧 𝙞đ™Ŗ𝙚𝙡𝙖𝙨𝙩𝙞𝙘? *𝙖. 𝙀𝙡𝙖𝙨𝙩𝙞𝙘𝙗. 𝙄đ™Ŗ𝙚𝙡𝙖𝙨𝙩𝙞𝙘4.𝙄đ™Ŗ 𝙮𝙤đ™Ē𝙧 𝙘𝙤𝙡𝙡𝙚𝙜𝙚 𝙩𝙤đ™Ŧđ™Ŗ, 𝙩𝙝𝙚 𝙡𝙤𝙘𝙖𝙡 𝙜𝙤đ™Ģ𝙚𝙧đ™Ŗđ™ĸ𝙚đ™Ŗ𝙩 𝙙𝙚𝙘𝙧𝙚𝙚𝙨 𝙩𝙝𝙖𝙩 𝙩𝙝𝙤đ™Ē𝙨𝙖đ™Ŗ𝙙𝙨 𝙤𝙛 𝙖đ™Ĩ𝙖𝙧𝙩đ™ĸ𝙚đ™Ŗ𝙩𝙨 𝙘𝙡𝙤𝙨𝙚 𝙩𝙤 𝙘𝙖đ™ĸđ™Ĩđ™Ē𝙨 𝙖𝙧𝙚 đ™Ēđ™Ŗ𝙞đ™Ŗ𝙝𝙖𝙗𝙞𝙩𝙖𝙗𝙡𝙚 𝙖đ™Ŗ𝙙 đ™ĸđ™Ē𝙨𝙩 𝙗𝙚 𝙩𝙤𝙧đ™Ŗ 𝙙𝙤đ™Ŧđ™Ŗ đ™Ŗ𝙚𝙭𝙩 𝙨𝙚đ™ĸ𝙚𝙨𝙩𝙚𝙧. 𝙄𝙛 𝙮𝙤đ™Ē đ™Ŧ𝙖đ™Ŗ𝙩 𝙩𝙤 đ™Ĩ𝙖𝙮 𝙩𝙝𝙚 𝙡𝙤đ™Ŧ𝙚𝙨𝙩 𝙧𝙚đ™Ŗ𝙩 đ™Ĩ𝙤𝙨𝙨𝙞𝙗𝙡𝙚, 𝙨𝙝𝙤đ™Ē𝙡𝙙 𝙮𝙤đ™Ē 𝙝𝙤đ™Ĩ𝙚 𝙩𝙝𝙖𝙩 𝙙𝙚đ™ĸ𝙖đ™Ŗ𝙙 𝙛𝙤𝙧 𝙖đ™Ĩ𝙖𝙧𝙩đ™ĸ𝙚đ™Ŗ𝙩𝙨 𝙞𝙨 𝙚𝙡𝙖𝙨𝙩𝙞𝙘 𝙤𝙧 𝙞đ™Ŗ𝙚𝙡𝙖𝙨𝙩𝙞𝙘? *𝙖. 𝙀𝙡𝙖𝙨𝙩𝙞𝙘𝙗. 𝙄đ™Ŗ𝙚𝙡𝙖𝙨𝙩𝙞𝙘5.𝙏𝙝𝙚 𝙡𝙤đ™Ŗ𝙜-𝙧đ™Ēđ™Ŗ 𝙚𝙡𝙖𝙨𝙩𝙞𝙘𝙞𝙩𝙮 𝙤𝙛 𝙤𝙞𝙡 𝙙𝙚đ™ĸ𝙖đ™Ŗ𝙙 𝙝𝙖𝙨 𝙗𝙚𝙚đ™Ŗ 𝙚𝙨𝙩𝙞đ™ĸ𝙖𝙩𝙚𝙙 𝙖𝙩 -0.5. 𝙄𝙛 𝙩𝙝𝙚 đ™Ĩ𝙧𝙞𝙘𝙚 𝙤𝙛 𝙤𝙞𝙡 𝙧𝙞𝙨𝙚𝙨 𝙗𝙮 10%, 𝙝𝙤đ™Ŧ đ™ĸđ™Ē𝙘𝙝 đ™Ŧ𝙞𝙡𝙡 𝙩𝙝𝙚 đ™Ļđ™Ē𝙖đ™Ŗ𝙩𝙞𝙩𝙮 𝙤𝙛 𝙤𝙞𝙡 𝙙𝙚đ™ĸ𝙖đ™Ŗ𝙙𝙚𝙙 𝙛𝙖𝙡𝙡? *𝙖. 5%𝙗. 0.5%𝙘. 2%𝙙. 20%6.𝙏𝙝𝙚 𝙡𝙤đ™Ŗ𝙜-𝙧đ™Ēđ™Ŗ 𝙚𝙡𝙖𝙨𝙩𝙞𝙘𝙞𝙩𝙮 𝙤𝙛 𝙤𝙞𝙡 𝙙𝙚đ™ĸ𝙖đ™Ŗ𝙙 𝙝𝙖𝙨 𝙗𝙚𝙚đ™Ŗ 𝙚𝙨𝙩𝙞đ™ĸ𝙖𝙩𝙚𝙙 𝙖𝙩 -0.5. đ˜ŋ𝙤𝙚𝙨 𝙖 10% 𝙧𝙞𝙨𝙚 𝙞đ™Ŗ 𝙤𝙞𝙡 đ™Ĩ𝙧𝙞𝙘𝙚𝙨 𝙞đ™Ŗ𝙘𝙧𝙚𝙖𝙨𝙚 𝙤𝙧 𝙙𝙚𝙘𝙧𝙚𝙖𝙨𝙚 𝙩𝙤𝙩𝙖𝙡 𝙧𝙚đ™Ģ𝙚đ™Ŗđ™Ē𝙚𝙨 𝙩𝙤 𝙩𝙝𝙚 𝙤𝙞𝙡 đ™Ĩ𝙧𝙤𝙙đ™Ē𝙘𝙚𝙧𝙨? *𝙖. 𝙄đ™Ŗ𝙘𝙧𝙚𝙖𝙨𝙚𝙗. đ˜ŋ𝙚𝙘𝙧𝙚𝙖𝙨𝙚7.𝙄đ™Ŗ 𝙩𝙝𝙚 𝙐đ™Ŗ𝙞𝙩𝙚𝙙 𝙎𝙩𝙖𝙩𝙚𝙨, 𝙩𝙝𝙚 𝙡𝙤đ™Ŗ𝙜-𝙧đ™Ēđ™Ŗ 𝙚𝙡𝙖𝙨𝙩𝙞𝙘𝙞𝙩𝙮 𝙤𝙛 𝙤𝙞𝙡 𝙙𝙚đ™ĸ𝙖đ™Ŗ𝙙 𝙝𝙖𝙨 𝙗𝙚𝙚đ™Ŗ 𝙚𝙨𝙩𝙞đ™ĸ𝙖𝙩𝙚𝙙 𝙖𝙩 -0.5. 𝙎𝙤đ™ĸ𝙚 đ™Ĩ𝙤𝙡𝙞𝙘𝙮đ™ĸ𝙖𝙠𝙚𝙧𝙨 𝙖đ™Ŗ𝙙 𝙚đ™Ŗđ™Ģ𝙞𝙧𝙤đ™Ŗđ™ĸ𝙚đ™Ŗ𝙩𝙖𝙡 𝙨𝙘𝙞𝙚đ™Ŗ𝙩𝙞𝙨𝙩𝙨 đ™Ŧ𝙤đ™Ē𝙡𝙙 𝙡𝙞𝙠𝙚 𝙩𝙤 𝙨𝙚𝙚 𝙩𝙝𝙚 𝙐đ™Ŗ𝙞𝙩𝙚𝙙 𝙎𝙩𝙖𝙩𝙚𝙨 𝙘đ™Ē𝙩 𝙗𝙖𝙘𝙠 𝙤đ™Ŗ 𝙞𝙩𝙨 đ™Ē𝙨𝙚 𝙤𝙛 𝙤𝙞𝙡 𝙞đ™Ŗ 𝙩𝙝𝙚 𝙡𝙤đ™Ŗ𝙜 𝙧đ™Ēđ™Ŗ. 𝙒𝙚 𝙘𝙖đ™Ŗ đ™Ē𝙨𝙚 𝙩𝙝𝙞𝙨 𝙚𝙡𝙖𝙨𝙩𝙞𝙘𝙞𝙩𝙮 𝙚𝙨𝙩𝙞đ™ĸ𝙖𝙩𝙚 𝙩𝙤 𝙜𝙚𝙩 𝙖 𝙧𝙤đ™Ē𝙜𝙝 đ™ĸ𝙚𝙖𝙨đ™Ē𝙧𝙚 𝙤𝙛 𝙝𝙤đ™Ŧ 𝙝𝙞𝙜𝙝 𝙩𝙝𝙚 đ™Ĩ𝙧𝙞𝙘𝙚 𝙤𝙛 𝙤𝙞𝙡 đ™Ŧ𝙤đ™Ē𝙡𝙙 𝙝𝙖đ™Ģ𝙚 𝙩𝙤 đ™Ĩ𝙚𝙧đ™ĸ𝙖đ™Ŗ𝙚đ™Ŗ𝙩𝙡𝙮 𝙧𝙞𝙨𝙚 𝙞đ™Ŗ 𝙤𝙧𝙙𝙚𝙧 𝙩𝙤 𝙜𝙚𝙩 đ™Ĩ𝙚𝙤đ™Ĩ𝙡𝙚 𝙩𝙤 đ™ĸ𝙖𝙠𝙚 𝙗𝙞𝙜 𝙘đ™Ē𝙩𝙨 𝙞đ™Ŗ 𝙤𝙞𝙡 𝙘𝙤đ™Ŗ𝙨đ™Ēđ™ĸđ™Ĩ𝙩𝙞𝙤đ™Ŗ. 𝙃𝙤đ™Ŧ đ™ĸđ™Ē𝙘𝙝 đ™Ŧ𝙤đ™Ē𝙡𝙙 𝙩𝙝𝙚 đ™Ĩ𝙧𝙞𝙘𝙚 𝙤𝙛 𝙤𝙞𝙡 𝙝𝙖đ™Ģ𝙚 𝙩𝙤 đ™Ĩ𝙚𝙧đ™ĸ𝙖đ™Ŗ𝙚đ™Ŗ𝙩𝙡𝙮 𝙧𝙞𝙨𝙚 𝙞đ™Ŗ 𝙤𝙧𝙙𝙚𝙧 𝙩𝙤 𝙘đ™Ē𝙩 𝙤𝙞𝙡 𝙘𝙤đ™Ŗ𝙨đ™Ēđ™ĸđ™Ĩ𝙩𝙞𝙤đ™Ŗ 𝙗𝙮 50%? *𝙖. 5%𝙗. 25%𝙘. 50%𝙙. 100%8.𝙁𝙧𝙖đ™Ŗ𝙘𝙚 𝙝𝙖𝙨 𝙩𝙝𝙚 𝙡𝙖𝙧𝙜𝙚𝙨𝙩 𝙡𝙤đ™Ŗ𝙜-𝙧đ™Ēđ™Ŗ 𝙚𝙡𝙖𝙨𝙩𝙞𝙘𝙞𝙩𝙮 𝙤𝙛 𝙤𝙞𝙡 𝙙𝙚đ™ĸ𝙖đ™Ŗ𝙙 (–0.6) 𝙤𝙛 𝙖đ™Ŗ𝙮 𝙤𝙛 𝙩𝙝𝙚 𝙡𝙖𝙧𝙜𝙚, 𝙧𝙞𝙘𝙝 𝙘𝙤đ™Ēđ™Ŗ𝙩𝙧𝙞𝙚𝙨, 𝙖𝙘𝙘𝙤𝙧𝙙𝙞đ™Ŗ𝙜 𝙩𝙤 𝘾𝙤𝙤đ™Ĩ𝙚𝙧’𝙨 𝙚𝙨𝙩𝙞đ™ĸ𝙖𝙩𝙚𝙨. đ˜ŋ𝙤𝙚𝙨 𝙩𝙝𝙞𝙨 đ™ĸ𝙚𝙖đ™Ŗ 𝙩𝙝𝙖𝙩 𝙁𝙧𝙖đ™Ŗ𝙘𝙚 𝙞𝙨 𝙗𝙚𝙩𝙩𝙚𝙧 𝙖𝙩 𝙧𝙚𝙨đ™Ĩ𝙤đ™Ŗ𝙙𝙞đ™Ŗ𝙜 𝙩𝙤 𝙡𝙤đ™Ŗ𝙜-𝙧đ™Ēđ™Ŗ đ™Ĩ𝙧𝙞𝙘𝙚 𝙘𝙝𝙖đ™Ŗ𝙜𝙚𝙨 𝙩𝙝𝙖đ™Ŗ 𝙤𝙩𝙝𝙚𝙧 𝙧𝙞𝙘𝙝 𝙘𝙤đ™Ēđ™Ŗ𝙩𝙧𝙞𝙚𝙨, 𝙤𝙧 𝙙𝙤𝙚𝙨 𝙞𝙩 đ™ĸ𝙚𝙖đ™Ŗ 𝙁𝙧𝙖đ™Ŗ𝙘𝙚 𝙞𝙨 đ™Ŧ𝙤𝙧𝙨𝙚 𝙖𝙩 𝙧𝙚𝙨đ™Ĩ𝙤đ™Ŗ𝙙𝙞đ™Ŗ𝙜? *𝙖. đ˜Ŋ𝙚𝙩𝙩𝙚𝙧 𝙖𝙩 𝙧𝙚𝙨đ™Ĩ𝙤đ™Ŗ𝙙𝙞đ™Ŗ𝙜𝙗. 𝙒𝙤𝙧𝙨𝙚 𝙖𝙩 𝙧𝙚𝙨đ™Ĩ𝙤đ™Ŗ𝙙𝙞đ™Ŗ𝙜9.𝙏𝙝𝙚 𝙚𝙡𝙖𝙨𝙩𝙞𝙘𝙞𝙩𝙮 𝙤𝙛 𝙙𝙚đ™ĸ𝙖đ™Ŗ𝙙 𝙞𝙨 0.2. 𝙄𝙨 𝙩𝙝𝙚 𝙙𝙚đ™ĸ𝙖đ™Ŗ𝙙 𝙘đ™Ē𝙧đ™Ģ𝙚 𝙧𝙚𝙡𝙖𝙩𝙞đ™Ģ𝙚𝙡𝙮 𝙨𝙩𝙚𝙚đ™Ĩ 𝙤𝙧 𝙛𝙡𝙖𝙩? 𝙒𝙞𝙡𝙡 𝙖 𝙛𝙖𝙡𝙡 𝙞đ™Ŗ đ™Ĩ𝙧𝙞𝙘𝙚 𝙧𝙖𝙞𝙨𝙚 𝙩𝙤𝙩𝙖𝙡 𝙧𝙚đ™Ģ𝙚đ™Ŗđ™Ē𝙚 𝙤𝙧 𝙡𝙤đ™Ŧ𝙚𝙧 𝙞𝙩? 𝙉𝙤𝙩𝙚: đ™Ŧ𝙚 đ™Ĩ𝙧𝙚𝙨𝙚đ™Ŗ𝙩 𝙩𝙝𝙚 𝙚𝙡𝙖𝙨𝙩𝙞𝙘𝙞𝙩𝙮 𝙞đ™Ŗ 𝙩𝙚𝙧đ™ĸ𝙨 𝙤𝙛 𝙞𝙩𝙨 𝙖𝙗𝙨𝙤𝙡đ™Ē𝙩𝙚 đ™Ģ𝙖𝙡đ™Ē𝙚. *𝙖. 𝙍𝙚𝙡𝙖𝙩𝙞đ™Ģ𝙚𝙡𝙮 𝙨𝙩𝙚𝙚đ™Ĩ; 𝙧𝙖𝙞𝙨𝙚 𝙩𝙤𝙩𝙖𝙡 𝙧𝙚đ™Ģ𝙚đ™Ŗđ™Ē𝙚𝙗. 𝙍𝙚𝙡𝙖𝙩𝙞đ™Ģ𝙚𝙡𝙮 𝙛𝙡𝙖𝙩; 𝙧𝙖𝙞𝙨𝙚 𝙩𝙤𝙩𝙖𝙡 𝙧𝙚đ™Ģ𝙚đ™Ŗđ™Ē𝙚𝙘. 𝙍𝙚𝙡𝙖𝙩𝙞đ™Ģ𝙚𝙡𝙮 𝙨𝙩𝙚𝙚đ™Ĩ; 𝙡𝙤đ™Ŧ𝙚𝙧 𝙩𝙤𝙩𝙖𝙡 𝙧𝙚đ™Ģ𝙚đ™Ŗđ™Ē𝙚𝙙. 𝙍𝙚𝙡𝙖𝙩𝙞đ™Ģ𝙚𝙡𝙮 𝙛𝙡𝙖𝙩; 𝙡𝙤đ™Ŧ𝙚𝙧 𝙩𝙤𝙩𝙖𝙡 𝙧𝙚đ™Ģ𝙚đ™Ŗđ™Ē𝙚10.𝙏𝙝𝙚 𝙚𝙡𝙖𝙨𝙩𝙞𝙘𝙞𝙩𝙮 𝙤𝙛 𝙙𝙚đ™ĸ𝙖đ™Ŗ𝙙 𝙞𝙨 2.0. 𝙄𝙨 𝙩𝙝𝙚 𝙙𝙚đ™ĸ𝙖đ™Ŗ𝙙 𝙘đ™Ē𝙧đ™Ģ𝙚 𝙧𝙚𝙡𝙖𝙩𝙞đ™Ģ𝙚𝙡𝙮 𝙨𝙩𝙚𝙚đ™Ĩ 𝙤𝙧 𝙛𝙡𝙖𝙩? 𝙒𝙞𝙡𝙡 𝙖 𝙛𝙖𝙡𝙡 𝙞đ™Ŗ đ™Ĩ𝙧𝙞𝙘𝙚 𝙧𝙖𝙞𝙨𝙚 𝙩𝙤𝙩𝙖𝙡 𝙧𝙚đ™Ģ𝙚đ™Ŗđ™Ē𝙚 𝙤𝙧 𝙡𝙤đ™Ŧ𝙚𝙧 𝙞𝙩? 𝙉𝙤𝙩𝙚: đ™Ŧ𝙚 đ™Ĩ𝙧𝙚𝙨𝙚đ™Ŗ𝙩 𝙩𝙝𝙚 𝙚𝙡𝙖𝙨𝙩𝙞𝙘𝙞𝙩𝙮 𝙞đ™Ŗ 𝙩𝙚𝙧đ™ĸ𝙨 𝙤𝙛 𝙞𝙩𝙨 𝙖𝙗𝙨𝙤𝙡đ™Ē𝙩𝙚 đ™Ģ𝙖𝙡đ™Ē𝙚. *𝙖. 𝙍𝙚𝙡𝙖𝙩𝙞đ™Ģ𝙚𝙡𝙮 𝙨𝙩𝙚𝙚đ™Ĩ; 𝙧𝙖𝙞𝙨𝙚 𝙩𝙤𝙩𝙖𝙡 𝙧𝙚đ™Ģ𝙚đ™Ŗđ™Ē𝙚𝙗. 𝙍𝙚𝙡𝙖𝙩𝙞đ™Ģ𝙚𝙡𝙮 𝙛𝙡𝙖𝙩; 𝙧𝙖𝙞𝙨𝙚 𝙩𝙤𝙩𝙖𝙡 𝙧𝙚đ™Ģ𝙚đ™Ŗđ™Ē𝙚𝙘. 𝙍𝙚𝙡𝙖𝙩𝙞đ™Ģ𝙚𝙡𝙮 𝙨𝙩𝙚𝙚đ™Ĩ; 𝙡𝙤đ™Ŧ𝙚𝙧 𝙩𝙤𝙩𝙖𝙡 𝙧𝙚đ™Ģ𝙚đ™Ŗđ™Ē𝙚𝙙. 𝙍𝙚𝙡𝙖𝙩𝙞đ™Ģ𝙚𝙡𝙮 𝙛𝙡𝙖𝙩; 𝙡𝙤đ™Ŧ𝙚𝙧 𝙩𝙤𝙩𝙖𝙡 𝙧𝙚đ™Ģ𝙚đ™Ŗđ™Ē𝙚11.𝙏𝙝𝙚 𝙚𝙡𝙖𝙨𝙩𝙞𝙘𝙞𝙩𝙮 𝙤𝙛 𝙙𝙚đ™ĸ𝙖đ™Ŗ𝙙 𝙞𝙨 1.1. 𝙄𝙨 𝙩𝙝𝙚 𝙙𝙚đ™ĸ𝙖đ™Ŗ𝙙 𝙘đ™Ē𝙧đ™Ģ𝙚 𝙧𝙚𝙡𝙖𝙩𝙞đ™Ģ𝙚𝙡𝙮 𝙨𝙩𝙚𝙚đ™Ĩ 𝙤𝙧 𝙛𝙡𝙖𝙩? 𝙒𝙞𝙡𝙡 𝙖 𝙛𝙖𝙡𝙡 𝙞đ™Ŗ đ™Ĩ𝙧𝙞𝙘𝙚 𝙧𝙖𝙞𝙨𝙚 𝙩𝙤𝙩𝙖𝙡 𝙧𝙚đ™Ģ𝙚đ™Ŗđ™Ē𝙚 𝙤𝙧 𝙡𝙤đ™Ŧ𝙚𝙧 𝙞𝙩? 𝙉𝙤𝙩𝙚: đ™Ŧ𝙚 đ™Ĩ𝙧𝙚𝙨𝙚đ™Ŗ𝙩 𝙩𝙝𝙚 𝙚𝙡𝙖𝙨𝙩𝙞𝙘𝙞𝙩𝙮 𝙞đ™Ŗ 𝙩𝙚𝙧đ™ĸ𝙨 𝙤𝙛 𝙞𝙩𝙨 𝙖𝙗𝙨𝙤𝙡đ™Ē𝙩𝙚 đ™Ģ𝙖𝙡đ™Ē𝙚. *𝙖. 𝙍𝙚𝙡𝙖𝙩𝙞đ™Ģ𝙚𝙡𝙮 𝙨𝙩𝙚𝙚đ™Ĩ; 𝙧𝙖𝙞𝙨𝙚 𝙩𝙤𝙩𝙖𝙡 𝙧𝙚đ™Ģ𝙚đ™Ŗđ™Ē𝙚𝙗. 𝙍𝙚𝙡𝙖𝙩𝙞đ™Ģ𝙚𝙡𝙮 𝙛𝙡𝙖𝙩; 𝙧𝙖𝙞𝙨𝙚 𝙩𝙤𝙩𝙖𝙡 𝙧𝙚đ™Ģ𝙚đ™Ŗđ™Ē𝙚𝙘. 𝙍𝙚𝙡𝙖𝙩𝙞đ™Ģ𝙚𝙡𝙮 𝙨𝙩𝙚𝙚đ™Ĩ; 𝙡𝙤đ™Ŧ𝙚𝙧 𝙩𝙤𝙩𝙖𝙡 𝙧𝙚đ™Ģ𝙚đ™Ŗđ™Ē𝙚𝙙. 𝙍𝙚𝙡𝙖𝙩𝙞đ™Ģ𝙚𝙡𝙮 𝙛𝙡𝙖𝙩; 𝙡𝙤đ™Ŧ𝙚𝙧 𝙩𝙤𝙩𝙖𝙡 𝙧𝙚đ™Ģ𝙚đ™Ŗđ™Ē𝙚12.𝙏𝙝𝙚 𝙚𝙡𝙖𝙨𝙩𝙞𝙘𝙞𝙩𝙮 𝙤𝙛 𝙙𝙚đ™ĸ𝙖đ™Ŗ𝙙 𝙞𝙨 0.9. 𝙄𝙨 𝙩𝙝𝙚 𝙙𝙚đ™ĸ𝙖đ™Ŗ𝙙 𝙘đ™Ē𝙧đ™Ģ𝙚 𝙧𝙚𝙡𝙖𝙩𝙞đ™Ģ𝙚𝙡𝙮 𝙨𝙩𝙚𝙚đ™Ĩ 𝙤𝙧 𝙛𝙡𝙖𝙩? 𝙒𝙞𝙡𝙡 𝙖 𝙛𝙖𝙡𝙡 𝙞đ™Ŗ đ™Ĩ𝙧𝙞𝙘𝙚 𝙧𝙖𝙞𝙨𝙚 𝙩𝙤𝙩𝙖𝙡 𝙧𝙚đ™Ģ𝙚đ™Ŗđ™Ē𝙚 𝙤𝙧 𝙡𝙤đ™Ŧ𝙚𝙧 𝙞𝙩? 𝙉𝙤𝙩𝙚: đ™Ŧ𝙚 đ™Ĩ𝙧𝙚𝙨𝙚đ™Ŗ𝙩 𝙩𝙝𝙚 𝙚𝙡𝙖𝙨𝙩𝙞𝙘𝙞𝙩𝙮 𝙞đ™Ŗ 𝙩𝙚𝙧đ™ĸ𝙨 𝙤𝙛 𝙞𝙩𝙨 𝙖𝙗𝙨𝙤𝙡đ™Ē𝙩𝙚 đ™Ģ𝙖𝙡đ™Ē𝙚. *𝙖. 𝙍𝙚𝙡𝙖𝙩𝙞đ™Ģ𝙚𝙡𝙮 𝙨𝙩𝙚𝙚đ™Ĩ; 𝙧𝙖𝙞𝙨𝙚 𝙩𝙤𝙩𝙖𝙡 𝙧𝙚đ™Ģ𝙚đ™Ŗđ™Ē𝙚𝙗. 𝙍𝙚𝙡𝙖𝙩𝙞đ™Ģ𝙚𝙡𝙮 𝙛𝙡𝙖𝙩; 𝙧𝙖𝙞𝙨𝙚 𝙩𝙤𝙩𝙖𝙡 𝙧𝙚đ™Ģ𝙚đ™Ŗđ™Ē𝙚𝙘. 𝙍𝙚𝙡𝙖𝙩𝙞đ™Ģ𝙚𝙡𝙮 𝙨𝙩𝙚𝙚đ™Ĩ; 𝙡𝙤đ™Ŧ𝙚𝙧 𝙩𝙤𝙩𝙖𝙡 𝙧𝙚đ™Ģ𝙚đ™Ŗđ™Ē𝙚𝙙. 𝙍𝙚𝙡𝙖𝙩𝙞đ™Ģ𝙚𝙡𝙮 𝙛𝙡𝙖𝙩; 𝙡𝙤đ™Ŧ𝙚𝙧 𝙩𝙤𝙩𝙖𝙡 𝙧𝙚đ™Ģ𝙚đ™Ŗđ™Ē𝙚13.𝙃𝙚đ™Ŗ𝙧𝙮 𝙁𝙤𝙧𝙙 𝙛𝙖đ™ĸ𝙤đ™Ē𝙨𝙡𝙮 đ™ĸ𝙖𝙨𝙨-đ™Ĩ𝙧𝙤𝙙đ™Ē𝙘𝙚𝙙 𝙘𝙖𝙧𝙨 𝙖𝙩 𝙩𝙝𝙚 𝙗𝙚𝙜𝙞đ™Ŗđ™Ŗ𝙞đ™Ŗ𝙜 𝙤𝙛 𝙩𝙝𝙚 𝙩đ™Ŧ𝙚đ™Ŗ𝙩𝙞𝙚𝙩𝙝 𝙘𝙚đ™Ŗ𝙩đ™Ē𝙧𝙮, 𝙨𝙩𝙖𝙧𝙩𝙞đ™Ŗ𝙜 𝙁𝙤𝙧𝙙 𝙈𝙤𝙩𝙤𝙧 𝘾𝙤đ™ĸđ™Ĩ𝙖đ™Ŗ𝙮. 𝙃𝙚 đ™ĸ𝙖𝙙𝙚 đ™ĸ𝙞𝙡𝙡𝙞𝙤đ™Ŗ𝙨 𝙗𝙚𝙘𝙖đ™Ē𝙨𝙚 đ™ĸ𝙖𝙨𝙨 đ™Ĩ𝙧𝙤𝙙đ™Ē𝙘𝙩𝙞𝙤đ™Ŗ đ™ĸ𝙖𝙙𝙚 𝙘𝙖𝙧𝙨 𝙘𝙝𝙚𝙖đ™Ĩ 𝙩𝙤 đ™ĸ𝙖𝙠𝙚, 𝙖đ™Ŗ𝙙 𝙝𝙚 đ™Ĩ𝙖𝙨𝙨𝙚𝙙 𝙨𝙤đ™ĸ𝙚 𝙤𝙛 𝙩𝙝𝙚 𝙨𝙖đ™Ģ𝙞đ™Ŗ𝙜𝙨 𝙩𝙤 𝙩𝙝𝙚 𝙘𝙤đ™Ŗ𝙨đ™Ēđ™ĸ𝙚𝙧 𝙞đ™Ŗ 𝙩𝙝𝙚 𝙛𝙤𝙧đ™ĸ 𝙤𝙛 𝙖 𝙡𝙤đ™Ŧ đ™Ĩ𝙧𝙞𝙘𝙚. 𝘾𝙖𝙧𝙨 𝙗𝙚𝙘𝙖đ™ĸ𝙚 𝙖 𝙘𝙤đ™ĸđ™ĸ𝙤đ™Ŗ 𝙨𝙞𝙜𝙝𝙩 𝙞đ™Ŗ 𝙩𝙝𝙚 𝙐đ™Ŗ𝙞𝙩𝙚𝙙 𝙎𝙩𝙖𝙩𝙚𝙨 𝙩𝙝𝙚𝙧𝙚𝙖𝙛𝙩𝙚𝙧. 𝙆𝙚𝙚đ™Ĩ𝙞đ™Ŗ𝙜 𝙩𝙤𝙩𝙖𝙡 𝙧𝙚đ™Ģ𝙚đ™Ŗđ™Ē𝙚 𝙖đ™Ŗ𝙙 𝙞𝙩𝙨 𝙧𝙚𝙡𝙖𝙩𝙞𝙤đ™Ŗ𝙨𝙝𝙞đ™Ĩ đ™Ŧ𝙞𝙩𝙝 đ™Ĩ𝙧𝙞𝙘𝙚 𝙞đ™Ŗ đ™ĸ𝙞đ™Ŗ𝙙, 𝙙𝙤 𝙮𝙤đ™Ē 𝙚𝙭đ™Ĩ𝙚𝙘𝙩 𝙩𝙝𝙚 𝙙𝙚đ™ĸ𝙖đ™Ŗ𝙙 𝙛𝙤𝙧 𝙘𝙖𝙧𝙨 𝙩𝙤 𝙗𝙚 𝙚𝙡𝙖𝙨𝙩𝙞𝙘 𝙤𝙧 𝙞đ™Ŗ𝙚𝙡𝙖𝙨𝙩𝙞𝙘 𝙜𝙞đ™Ģ𝙚đ™Ŗ 𝙩𝙝𝙚 𝙨𝙩𝙤𝙧𝙮 𝙤𝙛 𝙃𝙚đ™Ŗ𝙧𝙮 𝙁𝙤𝙧𝙙? *𝙖. 𝙀𝙡𝙖𝙨𝙩𝙞𝙘𝙗. 𝙄đ™Ŗ𝙚𝙡𝙖𝙨𝙩𝙞𝙘14. 𝙄đ™Ŗ 𝙩𝙝𝙚 𝙡𝙖𝙨𝙩 20 𝙮𝙚𝙖𝙧𝙨 𝙧𝙚𝙖𝙡 đ™ĸ𝙚𝙙𝙞𝙘𝙖𝙡 𝙚𝙭đ™Ĩ𝙚đ™Ŗ𝙙𝙞𝙩đ™Ē𝙧𝙚𝙨 𝙝𝙖đ™Ģ𝙚 đ™ĸ𝙤𝙧𝙚 𝙩𝙝𝙖đ™Ŗ 𝙙𝙤đ™Ē𝙗𝙡𝙚𝙙. 𝙋𝙝𝙮𝙨𝙞𝙘𝙞𝙖đ™Ŗ𝙨 𝙨đ™Ēđ™Ĩđ™Ĩ𝙡𝙮 đ™ĸ𝙚𝙙𝙞𝙘𝙖𝙡 𝙨𝙚𝙧đ™Ģ𝙞𝙘𝙚𝙨 𝙖𝙩 𝙖 𝙡𝙤đ™Ŧ𝙚𝙧 𝙘𝙤𝙨𝙩 𝙩𝙝𝙖đ™Ŗ 𝙙𝙤 𝙝𝙤𝙨đ™Ĩ𝙞𝙩𝙖𝙡𝙨. 𝙏𝙝đ™Ē𝙨, 𝙞𝙩 𝙝𝙖𝙨 𝙗𝙚𝙚đ™Ŗ 𝙨đ™Ē𝙜𝙜𝙚𝙨𝙩𝙚𝙙 𝙩𝙝𝙖𝙩 𝙩𝙤𝙩𝙖𝙡 đ™ĸ𝙚𝙙𝙞𝙘𝙖𝙡 𝙚𝙭đ™Ĩ𝙚đ™Ŗ𝙙𝙞𝙩đ™Ē𝙧𝙚𝙨 𝙘𝙤đ™Ē𝙡𝙙 𝙗𝙚 𝙙𝙚𝙘𝙧𝙚𝙖𝙨𝙚𝙙 𝙗𝙮 𝙞đ™Ŗ𝙘𝙧𝙚𝙖𝙨𝙞đ™Ŗ𝙜 𝙩𝙝𝙚 𝙨đ™Ēđ™Ĩđ™Ĩ𝙡𝙮 𝙤𝙛 đ™Ĩ𝙝𝙮𝙨𝙞𝙘𝙞𝙖đ™Ŗ𝙨. 𝙒𝙝𝙞𝙘𝙝 𝙤𝙛 𝙩𝙝𝙚 𝙛𝙤𝙡𝙡𝙤đ™Ŧ𝙞đ™Ŗ𝙜 𝙛𝙞đ™Ŗ𝙙𝙞đ™Ŗ𝙜𝙨 đ™Ŧ𝙤đ™Ē𝙡𝙙 𝙨đ™Ēđ™Ĩđ™Ĩ𝙤𝙧𝙩 𝙩𝙝𝙞𝙨 đ™Ĩ𝙤𝙨𝙞𝙩𝙞𝙤đ™Ŗ?đ˜ŧ. 𝙞𝙩 𝙞𝙨 𝙛𝙤đ™Ēđ™Ŗ𝙙 𝙩𝙝𝙖𝙩 𝙩𝙝𝙚 𝙘𝙧𝙤𝙨𝙨 𝙚𝙡𝙖𝙨𝙩𝙞𝙘𝙞𝙩𝙮 𝙤𝙛 𝙙𝙚đ™ĸ𝙖đ™Ŗ𝙙 𝙗𝙚𝙩đ™Ŧ𝙚𝙚đ™Ŗ đ™Ĩ𝙝𝙮𝙨𝙞𝙘𝙞𝙖đ™Ŗ𝙨 𝙖đ™Ŗ𝙙 𝙝𝙤𝙨đ™Ĩ𝙞𝙩𝙖𝙡𝙨 𝙞𝙨 đ™Ĩ𝙤𝙨𝙞𝙩𝙞đ™Ģ𝙚 𝙖đ™Ŗ𝙙 𝙧𝙚𝙡𝙖𝙩𝙞đ™Ģ𝙚𝙡𝙮 𝙡𝙖𝙧𝙜𝙚.đ˜Ŋ. 𝙞𝙩 𝙞𝙨 𝙛𝙤đ™Ēđ™Ŗ𝙙 𝙩𝙝𝙖𝙩 𝙩𝙝𝙚 𝙘𝙧𝙤𝙨𝙨 𝙚𝙡𝙖𝙨𝙩𝙞𝙘𝙞𝙩𝙮 𝙤𝙛 𝙙𝙚đ™ĸ𝙖đ™Ŗ𝙙 𝙗𝙚𝙩đ™Ŧ𝙚𝙚đ™Ŗ đ™Ĩ𝙝𝙮𝙨𝙞𝙘𝙞𝙖đ™Ŗ𝙨 𝙖đ™Ŗ𝙙 𝙝𝙤𝙨đ™Ĩ𝙞𝙩𝙖𝙡𝙨 𝙞𝙨 đ™Ŗ𝙚𝙜𝙖𝙩𝙞đ™Ģ𝙚 𝙖đ™Ŗ𝙙 𝙧𝙚𝙡𝙖𝙩𝙞đ™Ģ𝙚𝙡𝙮 𝙡𝙖𝙧𝙜𝙚 𝙞đ™Ŗ 𝙖𝙗𝙨𝙤𝙡đ™Ē𝙩𝙚 đ™Ģ𝙖𝙡đ™Ē𝙚.𝘾. 𝙞𝙩 𝙞𝙨 𝙛𝙤đ™Ēđ™Ŗ𝙙 𝙩𝙝𝙖𝙩 𝙩𝙝𝙚 𝙘𝙧𝙤𝙨𝙨 𝙚𝙡𝙖𝙨𝙩𝙞𝙘𝙞𝙩𝙮 𝙤𝙛 𝙙𝙚đ™ĸ𝙖đ™Ŗ𝙙 𝙗𝙚𝙩đ™Ŧ𝙚𝙚đ™Ŗ đ™Ĩ𝙝𝙮𝙨𝙞𝙘𝙞𝙖đ™Ŗ𝙨 𝙖đ™Ŗ𝙙 𝙝𝙤𝙨đ™Ĩ𝙞𝙩𝙖𝙡𝙨 𝙞𝙨 𝙧𝙚𝙡𝙖𝙩𝙞đ™Ģ𝙚𝙡𝙮 𝙡𝙖𝙧𝙜𝙚 𝙞đ™Ŗ 𝙖𝙗𝙨𝙤𝙡đ™Ē𝙩𝙚 đ™Ģ𝙖𝙡đ™Ē𝙚.đ˜ŋ. 𝙞𝙩 𝙞𝙨 𝙛𝙤đ™Ēđ™Ŗ𝙙 𝙩𝙝𝙖𝙩 𝙩𝙝𝙚 𝙙𝙚đ™ĸ𝙖đ™Ŗ𝙙 𝙛𝙤𝙧 đ™Ĩ𝙝𝙮𝙨𝙞𝙘𝙞𝙖đ™Ŗ𝙨 𝙞𝙨 𝙧𝙚𝙡𝙖𝙩𝙞đ™Ģ𝙚𝙡𝙮 𝙞đ™Ŗ𝙚𝙡𝙖𝙨𝙩𝙞𝙘.𝙀. 𝙩𝙝𝙚𝙧𝙚 𝙞𝙨 đ™Ŗ𝙤𝙩 𝙚đ™Ŗ𝙤đ™Ē𝙜𝙝 𝙞đ™Ŗ𝙛𝙤𝙧đ™ĸ𝙖𝙩𝙞𝙤đ™Ŗ 𝙜𝙞đ™Ģ𝙚đ™Ŗ 𝙖𝙗𝙤đ™Ģ𝙚 𝙩𝙤 𝙙𝙚𝙩𝙚𝙧đ™ĸ𝙞đ™Ŗ𝙚 𝙩𝙝𝙚 𝙚𝙛𝙛𝙚𝙘𝙩 𝙩𝙝𝙖𝙩 𝙖đ™Ŗ 𝙞đ™Ŗ𝙘𝙧𝙚𝙖𝙨𝙚 𝙞đ™Ŗ 𝙩𝙝𝙚 𝙨đ™Ēđ™Ĩđ™Ĩ𝙡𝙮 𝙤𝙛 đ™Ĩ𝙝𝙮𝙨𝙞𝙘𝙞𝙖đ™Ŗ𝙨 đ™Ŧ𝙞𝙡𝙡 𝙝𝙖đ™Ģ𝙚 𝙤đ™Ŗ đ™ĸ𝙚𝙙𝙞𝙘𝙖𝙡 𝙚𝙭đ™Ĩ𝙚đ™Ŗ𝙙𝙞𝙩đ™Ē𝙧𝙚𝙨.15. 𝙔𝙤đ™Ē 𝙖𝙧𝙚 𝙖 𝙨đ™Ēđ™Ĩđ™Ĩ𝙡𝙞𝙚𝙧 𝙤𝙛 đ™Ĩ𝙚𝙖đ™Ŗđ™Ē𝙩𝙨. 𝙔𝙤đ™Ē𝙧 𝙧𝙚𝙨𝙚𝙖𝙧𝙘𝙝 𝙙𝙚đ™Ĩ𝙖𝙧𝙩đ™ĸ𝙚đ™Ŗ𝙩 𝙚𝙨𝙩𝙞đ™ĸ𝙖𝙩𝙚𝙨 𝙩𝙝𝙖𝙩 𝙩𝙝𝙚 đ™Ĩ𝙧𝙞𝙘𝙚 𝙚𝙡𝙖𝙨𝙩𝙞𝙘𝙞𝙩𝙮 𝙤𝙛 𝙙𝙚đ™ĸ𝙖đ™Ŗ𝙙 𝙛𝙤𝙧 đ™Ĩ𝙚𝙖đ™Ŗđ™Ē𝙩𝙨 𝙞𝙨 2.5. đ˜Ŋ𝙮 đ™Ŧ𝙝𝙖𝙩 đ™Ĩ𝙚𝙧𝙘𝙚đ™Ŗ𝙩𝙖𝙜𝙚 đ™Ŧ𝙞𝙡𝙡 đ™Ļđ™Ē𝙖đ™Ŗ𝙩𝙞𝙩𝙮 𝙙𝙚đ™ĸ𝙖đ™Ŗ𝙙𝙚𝙙 𝙧𝙞𝙨𝙚 𝙞𝙛 𝙮𝙤đ™Ē 𝙡𝙤đ™Ŧ𝙚𝙧 đ™Ĩ𝙧𝙞𝙘𝙚 𝙛𝙧𝙤đ™ĸ $4 𝙩𝙤 $2?đ˜ŧ. 16.67 đ™Ĩ𝙚𝙧𝙘𝙚đ™Ŗ𝙩.đ˜Ŋ. 167 đ™Ĩ𝙚𝙧𝙘𝙚đ™Ŗ𝙩.𝘾. 67 đ™Ĩ𝙚𝙧𝙘𝙚đ™Ŗ𝙩.đ˜ŋ. 50 đ™Ĩ𝙚𝙧𝙘𝙚đ™Ŗ𝙩.𝙀. đ™Ŗ𝙤đ™Ŗ𝙚 𝙤𝙛 𝙩𝙝𝙚 𝙖𝙗𝙤đ™Ģ𝙚.16. đ˜ŧ 𝙡𝙤đ™Ŗ𝙜-𝙧đ™Ēđ™Ŗ 𝙙𝙚đ™ĸ𝙖đ™Ŗ𝙙 𝙘đ™Ē𝙧đ™Ģ𝙚, 𝙖𝙨 𝙘𝙤đ™ĸđ™Ĩ𝙖𝙧𝙚𝙙 𝙩𝙤 𝙖 𝙨𝙝𝙤𝙧𝙩-𝙧đ™Ēđ™Ŗ 𝙙𝙚đ™ĸ𝙖đ™Ŗ𝙙 𝙘đ™Ē𝙧đ™Ģ𝙚 𝙛𝙤𝙧 𝙩𝙝𝙚 𝙨𝙖đ™ĸ𝙚 𝙘𝙤đ™ĸđ™ĸ𝙤𝙙𝙞𝙩𝙮, 𝙞𝙨 𝙜𝙚đ™Ŗ𝙚𝙧𝙖𝙡𝙡𝙮:đ˜ŧ. đ™ĸ𝙤𝙧𝙚 𝙚𝙡𝙖𝙨𝙩𝙞𝙘đ˜Ŋ. 𝙡𝙚𝙨𝙨 𝙚𝙡𝙖𝙨𝙩𝙞𝙘𝘾. 𝙤𝙛 𝙩𝙝𝙚 𝙨𝙖đ™ĸ𝙚 𝙚𝙡𝙖𝙨𝙩𝙞𝙘𝙞𝙩𝙮đ˜ŋ. 𝙨𝙩𝙚𝙚đ™Ĩ𝙚𝙧 𝙞𝙛 𝙩𝙝𝙚 𝙘đ™Ē𝙧đ™Ģ𝙚𝙨 𝙖𝙧𝙚 đ™Ĩ𝙡𝙤𝙩𝙩𝙚𝙙 𝙖𝙜𝙖𝙞đ™Ŗ𝙨𝙩 𝙩𝙝𝙚 𝙨𝙖đ™ĸ𝙚 đ™đ™¤đ™§đ™žđ™¯đ™¤đ™Ŗ𝙩𝙖𝙡 𝙨𝙘𝙖𝙡𝙚.𝙀. đ™Ŗ𝙤đ™Ŗ𝙚 𝙤𝙛 𝙩𝙝𝙚 𝙖𝙗𝙤đ™Ģ𝙚.17. 𝙏𝙝𝙚 đ™Ļđ™Ē𝙖đ™Ŗ𝙩𝙞𝙩𝙮 𝙤𝙛 𝙖 𝙜𝙤𝙤𝙙 𝙙𝙚đ™ĸ𝙖đ™Ŗ𝙙𝙚𝙙 𝙧𝙞𝙨𝙚𝙨 𝙛𝙧𝙤đ™ĸ 1000 𝙩𝙤 1500 đ™Ēđ™Ŗ𝙞𝙩𝙨 đ™Ŧ𝙝𝙚đ™Ŗ 𝙩𝙝𝙚 đ™Ĩ𝙧𝙞𝙘𝙚 𝙛𝙖𝙡𝙡𝙨 𝙛𝙧𝙤đ™ĸ $1.50 𝙩𝙤 $1.00 đ™Ĩ𝙚𝙧 đ™Ēđ™Ŗ𝙞𝙩. 𝙏𝙝𝙚 đ™Ĩ𝙧𝙞𝙘𝙚 𝙚𝙡𝙖𝙨𝙩𝙞𝙘𝙞𝙩𝙮 𝙤𝙛 𝙙𝙚đ™ĸ𝙖đ™Ŗ𝙙 𝙛𝙤𝙧 𝙩𝙝𝙞𝙨 đ™Ĩ𝙧𝙤𝙙đ™Ē𝙘𝙩 𝙞𝙨 𝙖đ™Ĩđ™Ĩ𝙧𝙤𝙭𝙞đ™ĸ𝙖𝙩𝙚𝙡𝙮:đ˜ŧ. 1.0đ˜Ŋ. .16𝘾. 2.5đ˜ŋ. 4.018.𝙄𝙛 𝙩𝙝𝙚 𝙚𝙡𝙖𝙨𝙩𝙞𝙘𝙞𝙩𝙮 𝙤𝙛 𝙙𝙚đ™ĸ𝙖đ™Ŗ𝙙 𝙛𝙤𝙧 𝙖 𝙘𝙤đ™ĸđ™ĸ𝙤𝙙𝙞𝙩𝙮 𝙞𝙨 𝙚𝙨𝙩𝙞đ™ĸ𝙖𝙩𝙚𝙙 𝙩𝙤 𝙗𝙚 1.5, 𝙩𝙝𝙚đ™Ŗ 𝙖 𝙙𝙚𝙘𝙧𝙚𝙖𝙨𝙚 𝙞đ™Ŗ đ™Ĩ𝙧𝙞𝙘𝙚 𝙛𝙧𝙤đ™ĸ $2.10 𝙩𝙤 $1.90 đ™Ŧ𝙤đ™Ē𝙡𝙙 𝙗𝙚 𝙚𝙭đ™Ĩ𝙚𝙘𝙩𝙚𝙙 𝙩𝙤 𝙞đ™Ŗ𝙘𝙧𝙚𝙖𝙨𝙚 𝙙𝙖𝙞𝙡𝙮 𝙨𝙖𝙡𝙚𝙨 𝙗𝙮:đ˜ŧ. 50%đ˜Ŋ. 1.5%𝘾. 5%đ˜ŋ. 15%19. đ˜ŋ𝙚đ™ĸ𝙖đ™Ŗ𝙙 𝙞𝙨 𝙨𝙖𝙞𝙙 𝙩𝙤 𝙗𝙚 𝙞đ™Ŗ𝙚𝙡𝙖𝙨𝙩𝙞𝙘 đ™Ŧ𝙝𝙚đ™Ŗ:đ˜ŧ. 𝙩𝙝𝙚 đ™Ĩ𝙚𝙧𝙘𝙚đ™Ŗ𝙩𝙖𝙜𝙚 𝙘𝙝𝙖đ™Ŗ𝙜𝙚 𝙞đ™Ŗ đ™Ļđ™Ē𝙖đ™Ŗ𝙩𝙞𝙩𝙮 𝙙𝙚đ™ĸ𝙖đ™Ŗ𝙙𝙚𝙙 𝙞𝙨 𝙜𝙧𝙚𝙖𝙩𝙚𝙧 𝙩𝙝𝙖đ™Ŗ 𝙩𝙝𝙚 đ™Ĩ𝙚𝙧𝙘𝙚đ™Ŗ𝙩𝙖𝙜𝙚 𝙘𝙝𝙖đ™Ŗ𝙜𝙚 𝙞đ™Ŗ đ™Ĩ𝙧𝙞𝙘𝙚 𝙤𝙛 𝙖 𝙜𝙤𝙤𝙙đ˜Ŋ. 𝙞đ™Ŗ 𝙖 𝙡𝙞đ™Ŗ𝙚𝙖𝙧 𝙙𝙚đ™ĸ𝙖đ™Ŗ𝙙 𝙘đ™Ē𝙧đ™Ģ𝙚, đ™Ļđ™Ē𝙖đ™Ŗ𝙩𝙞𝙩𝙮 𝙙𝙚đ™ĸ𝙖đ™Ŗ𝙙𝙚𝙙 𝙞𝙨 𝙘𝙡𝙤𝙨𝙚 𝙩𝙤 đ™¯đ™šđ™§đ™¤ (𝙜𝙞đ™Ģ𝙚đ™Ŗ 𝙩𝙝𝙚 đ™Ĩ𝙧𝙞𝙘𝙚) 𝙨𝙤 𝙩𝙝𝙖𝙩 𝙩𝙝𝙚 đ™Ĩ𝙚𝙧𝙘𝙚đ™Ŗ𝙩𝙖𝙜𝙚 𝙘𝙝𝙖đ™Ŗ𝙜𝙚 𝙞đ™Ŗ đ™Ļđ™Ē𝙖đ™Ŗ𝙩𝙞𝙩𝙮 𝙙𝙚đ™ĸ𝙖đ™Ŗ𝙙𝙚𝙙 đ™Ŧ𝙞𝙡𝙡 𝙗𝙚 đ™Ģ𝙚𝙧𝙮 𝙝𝙞𝙜𝙝𝘾. 𝙩𝙝𝙚 đ™Ĩ𝙚𝙧𝙘𝙚đ™Ŗ𝙩𝙖𝙜𝙚 𝙘𝙝𝙖đ™Ŗ𝙜𝙚 𝙞đ™Ŗ đ™Ĩ𝙧𝙞𝙘𝙚 𝙚𝙭𝙘𝙚𝙚𝙙𝙨 𝙩𝙝𝙚 đ™Ĩ𝙚𝙧𝙘𝙚đ™Ŗ𝙩𝙖𝙜𝙚 𝙘𝙝𝙖đ™Ŗ𝙜𝙚 𝙞đ™Ŗ đ™Ļđ™Ē𝙖đ™Ŗ𝙩𝙞𝙩𝙮 𝙙𝙚đ™ĸ𝙖đ™Ŗ𝙙𝙚𝙙 𝙤𝙛 𝙖 𝙜𝙤𝙤𝙙đ˜ŋ. 𝙖 𝙧𝙚𝙡𝙖𝙩𝙞đ™Ģ𝙚𝙡𝙮 𝙨đ™ĸ𝙖𝙡𝙡 𝙘𝙝𝙖đ™Ŗ𝙜𝙚 𝙞đ™Ŗ đ™Ĩ𝙧𝙞𝙘𝙚 𝙧𝙚𝙨đ™Ē𝙡𝙩𝙨 𝙞đ™Ŗ 𝙖 𝙧𝙚𝙡𝙖𝙩𝙞đ™Ģ𝙚𝙡𝙮 𝙗𝙞𝙜 𝙘𝙝𝙖đ™Ŗ𝙜𝙚 𝙞đ™Ŗ đ™Ļđ™Ē𝙖đ™Ŗ𝙩𝙞𝙩𝙮 𝙙𝙚đ™ĸ𝙖đ™Ŗ𝙙𝙚𝙙20. 𝙎đ™Ēđ™Ĩđ™Ĩ𝙤𝙨𝙚 𝙩𝙝𝙖𝙩 𝙩𝙝𝙚 đ˜Ŋ𝙤𝙖𝙧𝙙 𝙤𝙛 đ˜ŋ𝙞𝙧𝙚𝙘𝙩𝙤𝙧𝙨 𝙤𝙛 𝙩𝙝𝙚 𝙡𝙤𝙘𝙖𝙡 𝙨𝙮đ™ĸđ™Ĩ𝙝𝙤đ™Ŗ𝙮 đ™Ĩ𝙧𝙤đ™Ĩ𝙤𝙨𝙚𝙨 𝙩𝙝𝙖𝙩 𝙩𝙝𝙚 𝙖𝙙đ™ĸ𝙞𝙨𝙨𝙞𝙤đ™Ŗ đ™Ĩ𝙧𝙞𝙘𝙚 𝙩𝙤 𝙝𝙚𝙖𝙧 𝙩𝙝𝙚 𝙤𝙧𝙘𝙝𝙚𝙨𝙩𝙧𝙖 𝙗𝙚 𝙧𝙖𝙞𝙨𝙚𝙙 𝙖𝙨 𝙖 đ™ĸ𝙚𝙖đ™Ŗ𝙨 𝙤𝙛 𝙧𝙖𝙞𝙨𝙞đ™Ŗ𝙜 𝙖𝙙𝙙𝙞𝙩𝙞𝙤đ™Ŗ𝙖𝙡 𝙛đ™Ēđ™Ŗ𝙙𝙨 𝙩𝙤 𝙨đ™Ēđ™Ĩđ™Ĩ𝙤𝙧𝙩 đ™ĸđ™Ē𝙨𝙞𝙘 đ™Ĩ𝙧𝙤𝙜𝙧𝙖đ™ĸ𝙨. 𝙄𝙩𝙨 đ™ĸ𝙚đ™ĸ𝙗𝙚𝙧𝙨 𝙖𝙧𝙚 𝙞đ™ĸđ™Ĩ𝙡𝙞𝙘𝙞𝙩𝙡𝙮 𝙖𝙨𝙨đ™Ēđ™ĸ𝙞đ™Ŗ𝙜 𝙩𝙝𝙖𝙩 𝙩𝙝𝙚 đ™Ĩ𝙧𝙞𝙘𝙚 𝙚𝙡𝙖𝙨𝙩𝙞𝙘𝙞𝙩𝙮 𝙤𝙛 𝙙𝙚đ™ĸ𝙖đ™Ŗ𝙙 𝙛𝙤𝙧 𝙖 𝙩𝙞𝙘𝙠𝙚𝙩 𝙞𝙨:đ˜ŧ. 𝙡𝙚𝙨𝙨 𝙩𝙝𝙖đ™Ŗ đ™Ēđ™Ŗ𝙞𝙩𝙮đ˜Ŋ. 𝙜𝙧𝙚𝙖𝙩𝙚𝙧 𝙩𝙝𝙖đ™Ŗ đ™Ēđ™Ŗ𝙞𝙩𝙮𝘾. đ™Ēđ™Ŗ𝙞𝙩𝙮đ˜ŋ. 𝙞𝙩 𝙧𝙚𝙖𝙡𝙡𝙮 𝙨𝙖𝙮𝙨 đ™Ŗ𝙤𝙩𝙝𝙞đ™Ŗ𝙜 𝙖𝙗𝙤đ™Ē𝙩 đ™Ĩ𝙧𝙞𝙘𝙚 𝙚𝙡𝙖𝙨𝙩𝙞𝙘𝙞𝙩𝙮21. 𝙏𝙝𝙚 𝙙𝙚𝙩𝙚𝙧đ™ĸ𝙞đ™Ŗ𝙖đ™Ŗ𝙩𝙨 𝙤𝙛 𝙩𝙝𝙚 đ™Ĩ𝙧𝙞𝙘𝙚 𝙚𝙡𝙖𝙨𝙩𝙞𝙘𝙞𝙩𝙮 𝙤𝙛 𝙙𝙚đ™ĸ𝙖đ™Ŗ𝙙 𝙤𝙛 𝙖 đ™Ĩ𝙖𝙧𝙩𝙞𝙘đ™Ē𝙡𝙖𝙧 𝙘𝙤đ™ĸđ™ĸ𝙤𝙙𝙞𝙩𝙮 𝙞đ™Ŗ𝙘𝙡đ™Ē𝙙𝙚 𝙖𝙡𝙡 𝙤𝙛 𝙩𝙝𝙚 𝙛𝙤𝙡𝙡𝙤đ™Ŧ𝙞đ™Ŗ𝙜 𝙚𝙭𝙘𝙚đ™Ĩ𝙩:đ˜ŧ. 𝙩𝙝𝙚 𝙖đ™Ģ𝙖𝙞𝙡𝙖𝙗𝙞𝙡𝙞𝙩𝙮 𝙤𝙛 𝙨đ™Ē𝙗𝙨𝙩𝙞𝙩đ™Ē𝙩𝙚𝙨 𝙛𝙤𝙧 𝙩𝙝𝙚 𝙘𝙤đ™ĸđ™ĸ𝙤𝙙𝙞𝙩𝙮đ˜Ŋ. 𝙩𝙝𝙚 𝙩𝙞đ™ĸ𝙚 đ™Ĩ𝙚𝙧𝙞𝙤𝙙 𝙞đ™Ŗđ™Ģ𝙤𝙡đ™Ģ𝙚𝙙𝘾. 𝙩𝙝𝙚 𝙚𝙖𝙨𝙚 đ™Ŧ𝙞𝙩𝙝 đ™Ŧ𝙝𝙞𝙘𝙝 𝙧𝙚𝙨𝙤đ™Ē𝙧𝙘𝙚𝙨 𝙘𝙖đ™Ŗ 𝙗𝙚 𝙨𝙝𝙞𝙛𝙩𝙚𝙙 𝙩𝙤 𝙖đ™Ŗ𝙙 𝙛𝙧𝙤đ™ĸ 𝙩𝙝𝙚 đ™Ĩ𝙧𝙤𝙙đ™Ē𝙘𝙩𝙞𝙤đ™Ŗ 𝙤𝙛 𝙩𝙝𝙞𝙨 𝙘𝙤đ™ĸđ™ĸ𝙤𝙙𝙞𝙩𝙮 𝙩𝙤 𝙤𝙩𝙝𝙚𝙧 đ™Ē𝙨𝙚𝙨đ˜ŋ. 𝙩𝙝𝙚 𝙙𝙚𝙜𝙧𝙚𝙚 𝙤𝙛 𝙨đ™Ĩ𝙚𝙘𝙞𝙛𝙞𝙘𝙞𝙩𝙮 đ™Ŧ𝙞𝙩𝙝 đ™Ŧ𝙝𝙞𝙘𝙝 𝙩𝙝𝙚 𝙘𝙤đ™ĸđ™ĸ𝙤𝙙𝙞𝙩𝙮 𝙞𝙨 𝙙𝙚𝙛𝙞đ™Ŗ𝙚𝙙22. 𝙏𝙝𝙚 𝙛𝙖𝙘𝙩 𝙩𝙝𝙖𝙩 𝙩𝙝𝙚 𝙚𝙭đ™Ĩ𝙚đ™Ŗ𝙙𝙞𝙩đ™Ē𝙧𝙚 𝙤đ™Ŗ 𝙛𝙤𝙤𝙙 𝙖𝙨 𝙖 đ™Ĩ𝙚𝙧𝙘𝙚đ™Ŗ𝙩𝙖𝙜𝙚 𝙤𝙛 𝙞đ™Ŗ𝙘𝙤đ™ĸ𝙚 𝙝𝙖𝙨 𝙙𝙚𝙘𝙡𝙞đ™Ŗ𝙚𝙙 𝙖𝙨 𝙞đ™Ŗ𝙘𝙤đ™ĸ𝙚 𝙝𝙖𝙨 𝙞đ™Ŗ𝙘𝙧𝙚𝙖𝙨𝙚𝙙 𝙞đ™Ŗ𝙙𝙞𝙘𝙖𝙩𝙚𝙨 𝙩𝙝𝙖𝙩 𝙛𝙤𝙤𝙙:đ˜ŧ. 𝙞𝙨 𝙖đ™Ŗ 𝙞đ™Ŗ𝙛𝙚𝙧𝙞𝙤𝙧 𝙜𝙤𝙤𝙙đ˜Ŋ. 𝙞𝙨 𝙖 𝙡đ™Ē𝙭đ™Ē𝙧𝙮 𝙜𝙤𝙤𝙙𝘾. 𝙝𝙖𝙨 𝙖đ™Ŗ 𝙞đ™Ŗ𝙘𝙤đ™ĸ𝙚 𝙚𝙡𝙖𝙨𝙩𝙞𝙘𝙞𝙩𝙮 𝙤𝙛 𝙙𝙚đ™ĸ𝙖đ™Ŗ𝙙 𝙡𝙚𝙨𝙨 𝙩𝙝𝙖đ™Ŗ đ™Ēđ™Ŗ𝙞𝙩𝙮đ˜ŋ. 𝙞𝙨 𝙖 đ™Ŗ𝙤𝙧đ™ĸ𝙖𝙡 𝙜𝙤𝙤𝙙 đ™Ŧ𝙞𝙩𝙝 𝙖đ™Ŗ 𝙚𝙡𝙖𝙨𝙩𝙞𝙘 𝙙𝙚đ™ĸ𝙖đ™Ŗ𝙙𝙀. 𝙩𝙝𝙚𝙧𝙚 𝙞𝙨 đ™Ŗ𝙤𝙩 𝙚đ™Ŗ𝙤đ™Ē𝙜𝙝 𝙞đ™Ŗ𝙛𝙤𝙧đ™ĸ𝙖𝙩𝙞𝙤đ™Ŗ 𝙩𝙤 𝙗𝙚 𝙖𝙗𝙡𝙚 𝙩𝙤 𝙙𝙚𝙩𝙚𝙧đ™ĸ𝙞đ™Ŗ𝙚 đ™Ŧ𝙝𝙖𝙩 𝙩𝙮đ™Ĩ𝙚 𝙤𝙛 𝙜𝙤𝙤𝙙 𝙛𝙤𝙤𝙙 𝙞𝙨23. đ˜ŧ 𝙩𝙖𝙭 đ™Ŧ𝙞𝙡𝙡 𝙗𝙚 𝙗𝙤𝙧đ™Ŗ𝙚 𝙘𝙤đ™ĸđ™Ĩ𝙡𝙚𝙩𝙚𝙡𝙮 𝙗𝙮 𝙨đ™Ēđ™Ĩđ™Ĩ𝙡𝙞𝙚𝙧𝙨 𝙞𝙛:đ˜ŧ. 𝙩𝙝𝙚 𝙙𝙚đ™ĸ𝙖đ™Ŗ𝙙 𝙘đ™Ē𝙧đ™Ģ𝙚 𝙞𝙨 đ™Ĩ𝙚𝙧𝙛𝙚𝙘𝙩𝙡𝙮 𝙞đ™Ŗ𝙚𝙡𝙖𝙨𝙩𝙞𝙘 đ™Ŧ𝙝𝙞𝙡𝙚 𝙩𝙝𝙚 𝙨đ™Ēđ™Ĩđ™Ĩ𝙡𝙮 𝙘đ™Ē𝙧đ™Ģ𝙚 𝙞𝙨 đ™Ēđ™Ĩđ™Ŧ𝙖𝙧𝙙 𝙨𝙡𝙤đ™Ĩ𝙞đ™Ŗ𝙜đ˜Ŋ. 𝙩𝙝𝙚 𝙙𝙚đ™ĸ𝙖đ™Ŗ𝙙 𝙘đ™Ē𝙧đ™Ģ𝙚 𝙞𝙨 𝙙𝙤đ™Ŧđ™Ŗđ™Ŧ𝙖𝙧𝙙 𝙨𝙡𝙤đ™Ĩ𝙞đ™Ŗ𝙜 đ™Ŧ𝙝𝙞𝙡𝙚 𝙩𝙝𝙚 𝙨đ™Ēđ™Ĩđ™Ĩ𝙡𝙮 𝙘đ™Ē𝙧đ™Ģ𝙚 𝙞𝙨 đ™Ĩ𝙚𝙧𝙛𝙚𝙘𝙩𝙡𝙮 𝙞đ™Ŗ𝙚𝙡𝙖𝙨𝙩𝙞𝙘𝘾. 𝙩𝙝𝙚 𝙨đ™Ēđ™Ĩđ™Ĩ𝙡𝙮 𝙘đ™Ē𝙧đ™Ģ𝙚 𝙞𝙨 đ™Ĩ𝙚𝙧𝙛𝙚𝙘𝙩𝙡𝙮 𝙚𝙡𝙖𝙨𝙩𝙞𝙘 𝙖đ™Ŗ𝙙 𝙩𝙝𝙚 𝙙𝙚đ™ĸ𝙖đ™Ŗ𝙙 𝙘đ™Ē𝙧đ™Ģ𝙚 𝙞𝙨 đ™Ŗ𝙚𝙜𝙖𝙩𝙞đ™Ģ𝙚𝙡𝙮 𝙨𝙡𝙤đ™Ĩ𝙚đ˜ŋ. đ™Ĩ𝙧𝙞𝙘𝙚 𝙚𝙡𝙖𝙨𝙩𝙞𝙘𝙞𝙩𝙞𝙚𝙨 𝙤𝙛 𝙗𝙤𝙩𝙝 𝙨đ™Ēđ™Ĩđ™Ĩ𝙡𝙮 𝙖đ™Ŗ𝙙 𝙙𝙚đ™ĸ𝙖đ™Ŗ𝙙 𝙚đ™Ļđ™Ē𝙖𝙡 𝙤đ™Ŗ𝙚𝙀. 𝙗𝙤𝙩𝙝 𝙩𝙝𝙚 𝙙𝙚đ™ĸ𝙖đ™Ŗ𝙙 𝙖đ™Ŗ𝙙 𝙨đ™Ēđ™Ĩđ™Ĩ𝙡𝙮 𝙘đ™Ē𝙧đ™Ģ𝙚𝙨 𝙖𝙧𝙚 đ™Ĩ𝙚𝙧𝙛𝙚𝙘𝙩𝙡𝙮 𝙞đ™Ŗ𝙚𝙡𝙖𝙨𝙩𝙞𝙘24.𝙏𝙝𝙚 đ™Ļđ™Ē𝙖đ™Ŗ𝙩𝙞𝙩𝙮 𝙤𝙛 𝙖 𝙜𝙤𝙤𝙙 𝙙𝙚đ™ĸ𝙖đ™Ŗ𝙙𝙚𝙙 𝙧𝙞𝙨𝙚𝙨 𝙛𝙧𝙤đ™ĸ 90 đ™Ēđ™Ŗ𝙞𝙩𝙨 𝙩𝙤 110 đ™Ēđ™Ŗ𝙞𝙩𝙨 đ™Ŧ𝙝𝙚đ™Ŗ 𝙩𝙝𝙚 đ™Ĩ𝙧𝙞𝙘𝙚 𝙛𝙖𝙡𝙡𝙨 𝙛𝙧𝙤đ™ĸ $1.20 𝙩𝙤 $.80 đ™Ĩ𝙚𝙧 đ™Ēđ™Ŗ𝙞𝙩. 𝙏𝙝𝙚 đ™Ĩ𝙧𝙞𝙘𝙚 𝙚𝙡𝙖𝙨𝙩𝙞𝙘𝙞𝙩𝙮 𝙤𝙛 𝙙𝙚đ™ĸ𝙖đ™Ŗ𝙙 𝙛𝙤𝙧 𝙩𝙝𝙞𝙨 đ™Ĩ𝙧𝙤𝙙đ™Ē𝙘𝙩 𝙖đ™Ĩđ™Ĩ𝙧𝙤𝙭𝙞đ™ĸ𝙖𝙩𝙚𝙨:đ˜ŧ. .5đ˜Ŋ. 1.0𝘾. 2.0đ˜ŋ. 4.025. đ˜ŧ 𝙙𝙤đ™Ŧđ™Ŗ𝙝𝙞𝙡𝙡 𝙨𝙠𝙞 𝙖𝙧𝙚𝙖 𝙞𝙨 𝙚𝙭đ™Ĩ𝙚𝙧𝙞𝙚đ™Ŗ𝙘𝙞đ™Ŗ𝙜 𝙖 𝙙𝙚𝙘𝙡𝙞đ™Ŗ𝙚 𝙞đ™Ŗ 𝙩𝙝𝙚 đ™Ŗđ™Ēđ™ĸ𝙗𝙚𝙧 𝙤𝙛 𝙡𝙞𝙛𝙩 𝙩𝙞𝙘𝙠𝙚𝙩𝙨 𝙨𝙤𝙡𝙙, 𝙛𝙖𝙡𝙡𝙞đ™Ŗ𝙜 𝙧𝙚đ™Ģ𝙚đ™Ŗđ™Ē𝙚𝙨, 𝙖đ™Ŗ𝙙 𝙞đ™Ŗ𝙖𝙙𝙚đ™Ļđ™Ē𝙖𝙩𝙚 đ™Ĩ𝙧𝙤𝙛𝙞𝙩𝙨. 𝙏𝙝𝙚 𝙖đ™Ģ𝙚𝙧𝙖𝙜𝙚 đ™Ĩ𝙧𝙞𝙘𝙚 𝙤𝙛 𝙖 𝙡𝙞𝙛𝙩 𝙩𝙞𝙘𝙠𝙚𝙩 𝙞𝙨 $20 𝙖đ™Ŗ𝙙 𝙩𝙝𝙚𝙧𝙚 𝙖𝙧𝙚 2,500 𝙩𝙞𝙘𝙠𝙚𝙩𝙨 𝙨𝙤𝙡𝙙 𝙙𝙖𝙞𝙡𝙮 𝙤đ™Ŗ 𝙖đ™Ģ𝙚𝙧𝙖𝙜𝙚. 𝙏𝙝𝙚 𝙚𝙨𝙩𝙞đ™ĸ𝙖𝙩𝙚𝙙 đ™Ĩ𝙧𝙞𝙘𝙚 𝙚𝙡𝙖𝙨𝙩𝙞𝙘𝙞𝙩𝙮 𝙤𝙛 𝙙𝙚đ™ĸ𝙖đ™Ŗ𝙙 𝙞𝙨 1.5 𝙖đ™Ŗ𝙙 𝙩𝙝𝙚 𝙡𝙞𝙛𝙩𝙨 𝙖𝙧𝙚 𝙘đ™Ē𝙧𝙧𝙚đ™Ŗ𝙩𝙡𝙮 𝙤đ™Ĩ𝙚𝙧𝙖𝙩𝙞đ™Ŗ𝙜 𝙖𝙩 𝙖đ™Ŗ 𝙖đ™Ģ𝙚𝙧𝙖𝙜𝙚 𝙤𝙛 75 đ™Ĩ𝙚𝙧𝙘𝙚đ™Ŗ𝙩 𝙤𝙛 𝙘𝙖đ™Ĩ𝙖𝙘𝙞𝙩𝙮. 𝙒𝙝𝙞𝙘𝙝 𝙤𝙛 𝙩𝙝𝙚 𝙛𝙤𝙡𝙡𝙤đ™Ŧ𝙞đ™Ŗ𝙜 đ™ĸ𝙚𝙩𝙝𝙤𝙙𝙨 𝙞𝙨 đ™ĸ𝙤𝙨𝙩 𝙡𝙞𝙠𝙚𝙡𝙮 𝙩𝙤 𝙞đ™Ŗ𝙘𝙧𝙚𝙖𝙨𝙚 𝙩𝙝𝙚 𝙨𝙠𝙞 𝙖𝙧𝙚𝙖'𝙨 𝙧𝙚đ™Ģ𝙚đ™Ŗđ™Ē𝙚𝙨 𝙖đ™Ŗ𝙙 đ™Ĩ𝙧𝙤𝙛𝙞𝙩𝙨.đ˜ŧ. 𝙖 10 đ™Ĩ𝙚𝙧𝙘𝙚đ™Ŗ𝙩 𝙞đ™Ŗ𝙘𝙧𝙚𝙖𝙨𝙚 𝙞đ™Ŗ 𝙩𝙝𝙚 𝙖đ™Ģ𝙚𝙧𝙖𝙜𝙚 đ™Ĩ𝙧𝙞𝙘𝙚 𝙤𝙛 𝙖 𝙡𝙞𝙛𝙩 𝙩𝙞𝙘𝙠𝙚𝙩.đ˜Ŋ. 𝙖đ™Ŗ 𝙖𝙜𝙜𝙧𝙚𝙨𝙞đ™Ģ𝙚 𝙖𝙙đ™Ģ𝙚𝙧𝙩𝙞𝙨𝙞đ™Ŗ𝙜 𝙘𝙖đ™ĸđ™Ĩ𝙖𝙞𝙜đ™Ŗ.𝘾. 𝙖 10 đ™Ĩ𝙚𝙧𝙘𝙚đ™Ŗ𝙩 𝙞đ™Ŗ𝙘𝙧𝙚𝙖𝙨𝙚 𝙞đ™Ŗ 𝙩𝙝𝙚 𝙖đ™Ģ𝙚𝙧𝙖𝙜𝙚 đ™Ĩ𝙧𝙞𝙘𝙚 𝙤𝙛 𝙖 𝙡𝙞𝙛𝙩 𝙩𝙞𝙘𝙠𝙚𝙩 𝙘𝙤đ™ĸ𝙗𝙞đ™Ŗ𝙚𝙙 đ™Ŧ𝙞𝙩𝙝 𝙖đ™Ŗ 𝙖𝙜𝙜𝙧𝙚𝙨𝙞đ™Ģ𝙚 𝙖𝙙đ™Ģ𝙚𝙧𝙩𝙞𝙨𝙞đ™Ŗ𝙜 𝙘𝙖đ™ĸđ™Ĩ𝙖𝙞𝙜đ™Ŗ.đ˜ŋ. 𝙖 10 đ™Ĩ𝙚𝙧𝙘𝙚đ™Ŗ𝙩 𝙙𝙚𝙘𝙧𝙚𝙖𝙨𝙚 𝙞đ™Ŗ 𝙩𝙝𝙚 𝙖đ™Ģ𝙚𝙧𝙖𝙜𝙚 đ™Ĩ𝙧𝙞𝙘𝙚 𝙤𝙛 𝙖 𝙡𝙞𝙛𝙩 𝙩𝙞𝙘𝙠𝙚𝙩.26. 𝘾𝙤đ™Ŗ𝙨đ™Ēđ™ĸ𝙚𝙧𝙨 đ™Ŧ𝙞𝙡𝙡 𝙗𝙚𝙖𝙧 đ™ĸ𝙤𝙧𝙚 𝙤𝙛 𝙩𝙝𝙚 𝙗đ™Ē𝙧𝙙𝙚đ™Ŗ 𝙤𝙛 𝙖 𝙩𝙖𝙭 𝙩𝙝𝙚:đ˜ŧ. đ™ĸ𝙤𝙧𝙚 𝙚𝙡𝙖𝙨𝙩𝙞𝙘 𝙨đ™Ēđ™Ĩđ™Ĩ𝙡𝙮 𝙞𝙨.đ˜Ŋ. đ™ĸ𝙤𝙧𝙚 𝙚𝙡𝙖𝙨𝙩𝙞𝙘 𝙙𝙚đ™ĸ𝙖đ™Ŗ𝙙 𝙞𝙨.𝘾. 𝙩𝙝𝙚 đ™ĸ𝙤𝙧𝙚 𝙞đ™Ŗ𝙚𝙡𝙖𝙨𝙩𝙞𝙘 𝙨đ™Ēđ™Ĩđ™Ĩ𝙡𝙮 𝙞𝙨.đ˜ŋ. 𝙘𝙤đ™Ŗ𝙨đ™Ēđ™ĸ𝙚𝙧𝙨 𝙖𝙡đ™Ŧ𝙖𝙮𝙨 𝙗𝙚𝙖𝙧 𝙩𝙝𝙚 𝙗đ™Ē𝙧𝙙𝙚đ™Ŗ 𝙤𝙛 𝙩𝙝𝙚 𝙩𝙖𝙭 𝙨𝙞đ™Ŗ𝙘𝙚 𝙩𝙝𝙚𝙮 đ™Ĩ𝙖𝙮 𝙩𝙝𝙚 𝙛𝙞đ™Ŗ𝙖𝙡 đ™Ĩ𝙧𝙞𝙘𝙚.𝙀. đ™Ŗ𝙤đ™Ŗ𝙚 𝙤𝙛 𝙩𝙝𝙚 𝙖𝙗𝙤đ™Ģ𝙚.27. đ˜ŧđ™Ŗ 𝙞đ™Ŗ𝙘𝙤đ™ĸ𝙚 𝙚𝙡𝙖𝙨𝙩𝙞𝙘𝙞𝙩𝙮 𝙤𝙛 𝙙𝙚đ™ĸ𝙖đ™Ŗ𝙙 𝙚đ™Ļđ™Ē𝙖𝙡 𝙩𝙤 2 𝙛𝙤𝙧 𝙖 đ™Ĩ𝙖𝙧𝙩𝙞𝙘đ™Ē𝙡𝙖𝙧 đ™Ĩ𝙧𝙤𝙙đ™Ē𝙘𝙩 đ™ĸ𝙚𝙖đ™Ŗ𝙨 𝙩𝙝𝙖𝙩:đ˜ŧ. 𝙙𝙚đ™ĸ𝙖đ™Ŗ𝙙 𝙘đ™Ē𝙧đ™Ģ𝙚𝙨 𝙛𝙤𝙧 𝙩𝙝𝙚 đ™Ĩ𝙧𝙤𝙙đ™Ē𝙘𝙩 𝙨𝙡𝙤đ™Ĩ𝙚 đ™Ēđ™Ĩđ™Ŧ𝙖𝙧𝙙.đ˜Ŋ. 𝙩𝙝𝙚 đ™Ĩ𝙧𝙤𝙙đ™Ē𝙘𝙩 𝙞𝙨 𝙖đ™Ŗ 𝙞đ™Ŗ𝙛𝙚𝙧𝙞𝙤𝙧 𝙜𝙤𝙤𝙙.𝘾. 𝙖 10 đ™Ĩ𝙚𝙧𝙘𝙚đ™Ŗ𝙩 𝙞đ™Ŗ𝙘𝙧𝙚𝙖𝙨𝙚 𝙞đ™Ŗ 𝙞đ™Ŗ𝙘𝙤đ™ĸ𝙚 đ™Ŧ𝙞𝙡𝙡 𝙮𝙞𝙚𝙡𝙙 𝙖 20 đ™Ĩ𝙚𝙧𝙘𝙚đ™Ŗ𝙩 𝙞đ™Ŗ𝙘𝙧𝙚𝙖𝙨𝙚 𝙞đ™Ŗ 𝙩𝙝𝙚 đ™Ļđ™Ē𝙖đ™Ŗ𝙩𝙞𝙩𝙮 𝙨𝙤𝙡𝙙.đ˜ŋ. 𝙖 20 đ™Ĩ𝙚𝙧𝙘𝙚đ™Ŗ𝙩 𝙞đ™Ŗ𝙘𝙧𝙚𝙖𝙨𝙚 𝙞đ™Ŗ 𝙞đ™Ŗ𝙘𝙤đ™ĸ𝙚 đ™Ŧ𝙞𝙡𝙡 𝙧𝙚𝙨đ™Ē𝙡𝙩 𝙞đ™Ŗ 𝙖 10 đ™Ĩ𝙚𝙧𝙘𝙚đ™Ŗ𝙩 𝙞đ™Ŗ𝙘𝙧𝙚𝙖𝙨𝙚 𝙞đ™Ŗ 𝙩𝙝𝙚 đ™Ļđ™Ē𝙖đ™Ŗ𝙩𝙞𝙩𝙮 𝙨𝙤𝙡𝙙.𝙀. (% 𝙘𝙝𝙖đ™Ŗ𝙜𝙚 𝙞đ™Ŗ 𝙌) / (% 𝙘𝙝𝙖đ™Ŗ𝙜𝙚 𝙞đ™Ŗ 𝙋) = 2.28. 𝙁𝙧𝙤đ™ĸ đ™Ŧ𝙝𝙞𝙘𝙝 𝙤𝙛 𝙩𝙝𝙚 𝙛𝙤𝙡𝙡𝙤đ™Ŧ𝙞đ™Ŗ𝙜 𝙙𝙖𝙩𝙖 đ™ĸ𝙞𝙜𝙝𝙩 𝙮𝙤đ™Ē 𝙚𝙨𝙩𝙞đ™ĸ𝙖𝙩𝙚 𝙖 đ™Ĩ𝙧𝙞𝙘𝙚 𝙚𝙡𝙖𝙨𝙩𝙞𝙘𝙞𝙩𝙮 𝙤𝙛 𝙨đ™Ēđ™Ĩđ™Ĩ𝙡𝙮?đ˜ŧ. 𝙖 đ™Ĩ𝙧𝙞𝙘𝙚 𝙩𝙝𝙚 đ™Ĩ𝙧𝙞𝙘𝙚𝙨 𝙤𝙛 𝙧𝙖𝙘đ™Ļđ™Ē𝙚𝙩𝙨 𝙜𝙤 đ™Ēđ™Ĩ 12 đ™Ĩ𝙚𝙧𝙘𝙚đ™Ŗ𝙩.𝙀. 𝙨𝙩𝙚𝙚𝙡 đ™Ĩ𝙧𝙤𝙙đ™Ē𝙘𝙩𝙞𝙤đ™Ŗ 𝙖đ™Ŗ𝙙 𝙨𝙖𝙡𝙚𝙨 𝙧𝙞𝙨𝙚 18 đ™Ĩ𝙚𝙧𝙘𝙚đ™Ŗ𝙩 đ™Ŧ𝙝𝙚đ™Ŗ đ™Ŗ𝙖𝙩𝙞𝙤đ™Ŗ𝙖𝙡 𝙞đ™Ŗ𝙘𝙤đ™ĸ𝙚 𝙜𝙧𝙤đ™Ŧ𝙨 13 đ™Ĩ𝙚𝙧𝙘𝙚đ™Ŗ𝙩.
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price elasticity of demand Related: #54, NUMERICALS - PRICE ELASTICIT...
Price Elasticity of Demand
Price elasticity of demand measures the responsiveness of quantity demanded to a change in price. It is calculated as the percentage change in quantity demanded divided by the percentage change in price.

Numericals - Price Elasticity of Demand
To calculate price elasticity of demand numerically, you can use the formula:
\[ E_d = \frac{\% \Delta Q_d}{\% \Delta P} \]
where:
- \( E_d \) = Price elasticity of demand
- \( \% \Delta Q_d \) = Percentage change in quantity demanded
- \( \% \Delta P \) = Percentage change in price

Example
Let's say the price of a product increased by 10% and the quantity demanded decreased by 20%. Using the formula above:
\[ E_d = \frac{-20\%}{10\%} = -2 \]
This means that the price elasticity of demand for this product is elastic, as a 1% increase in price leads to a 2% decrease in quantity demanded.

Interpretation
- If \( |E_d| > 1 \), demand is elastic
- If \( |E_d| < 1="" \),="" demand="" is="" />
- If \( |E_d| = 1 \), demand is unit elastic
Understanding price elasticity of demand is crucial for businesses to make pricing decisions and forecast demand accurately.
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price elasticity of demand Related: #54, NUMERICALS - PRICE ELASTICITY OF DEMAND | PART 1 | MICROECONOMICS | CLASS 12 & 11?
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