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A distributer of applejuoce has 5000 bottles inthe store that it wishes to distribute in amonth. From experience it is known that d=-2000p^2 2000p 1700.The price per bottle that will result 0 inventory is?
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A distributer of applejuoce has 5000 bottles inthe store that it wishe...
Calculating the Price per Bottle Resulting in 0 Inventory
- Given:
- Total number of bottles in store = 5000
- Number of bottles to be distributed in a month = 5000
- Cost function = d = -2000p^2 + 2000p + 1700
- Calculations:
- To find the price per bottle resulting in 0 inventory, we need to find the price at which the demand (d) equals the supply (5000).
- This can be represented mathematically as: 5000 = -2000p^2 + 2000p + 1700
- Simplifying this equation, we get: 2000p^2 - 2000p + 3300 = 0
- Using the quadratic formula, we can solve for p: p = (-b ± √(b^2-4ac))/2a
- Plugging in the values, we get: p = (2000 ± √(2000^2-4(2000)(3300)))/(2(2000))
- Simplifying this equation, we get two solutions: p = 1.65 and p = 0.3
- Since the price per bottle cannot be negative, we can disregard the negative solution. So, the price per bottle resulting in 0 inventory is $1.65.
- Explanation:
- The cost function provided gives us the demand for apple juice based on the price per bottle. The demand function is a quadratic equation with a negative coefficient of the squared term (-2000p^2), which means that the demand curve is downward sloping.
- The goal is to find the price per bottle that results in 0 inventory, which means that the demand and supply are equal. We can set the demand function equal to the supply (5000) and solve for the price per bottle.
- Using the quadratic formula, we can solve for p and get two solutions. However, since the price per bottle cannot be negative, we can disregard the negative solution.
- Therefore, the price per bottle resulting in 0 inventory is $1.65.
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A distributer of applejuoce has 5000 bottles inthe store that it wishes to distribute in amonth. From experience it is known that d=-2000p^2 2000p 1700.The price per bottle that will result 0 inventory is?
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A distributer of applejuoce has 5000 bottles inthe store that it wishes to distribute in amonth. From experience it is known that d=-2000p^2 2000p 1700.The price per bottle that will result 0 inventory is? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about A distributer of applejuoce has 5000 bottles inthe store that it wishes to distribute in amonth. From experience it is known that d=-2000p^2 2000p 1700.The price per bottle that will result 0 inventory is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A distributer of applejuoce has 5000 bottles inthe store that it wishes to distribute in amonth. From experience it is known that d=-2000p^2 2000p 1700.The price per bottle that will result 0 inventory is?.
A distributer of applejuoce has 5000 bottles inthe store that it wishes to distribute in amonth. From experience it is known that d=-2000p^2 2000p 1700.The price per bottle that will result 0 inventory is? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about A distributer of applejuoce has 5000 bottles inthe store that it wishes to distribute in amonth. From experience it is known that d=-2000p^2 2000p 1700.The price per bottle that will result 0 inventory is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A distributer of applejuoce has 5000 bottles inthe store that it wishes to distribute in amonth. From experience it is known that d=-2000p^2 2000p 1700.The price per bottle that will result 0 inventory is?.
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