Light The Stage, a stage lighting equipment rental company, charges $x for the first four weeks that a lighting instrument is rented, and $y per week for each week after that. The company 1564 Theatre Group has budgeted $2,000 to spend on the rental of lighting instruments from Light TheStage for its upcoming production.In the table, indicate which expression corresponds to the maximum number of weeks per instrument for which 1564 Theatre Group can rent 10 instruments given its budget, as well as which expression corresponds to the maximum number of instruments 1564 Theatre Group can rent for a total of 10 weeks per instrument given its budget. Make only two selections, one in each column.a)Option 3, Option 2b)Option 1, Option 3c)Option 4, Option 3d)Option 5, Option 2e)Option 4, Option 2Correct answer is option 'D'. Can you explain this answer?

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In the table, indicate which expression corresponds to the maximum number of weeks per instrument for which 1564 Theatre Group can rent 10 instruments given its budget, as well as which expression corresponds to the maximum number of instruments 1564 Theatre Group can rent for a total of 10 weeks per instrument given its budget. Make only two selections, one in each column.

a)
Option 3, Option 2
b)
Option 1, Option 3
c)
Option 4, Option 3
d)
Option 5, Option 2
e)
Option 4, Option 2

Correct answer is option 'D'. Can you explain this answer?

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Light The Stage, a stage lighting equipment rental company, charges $x...

Step 1: Preview the task.
A quick glance at the answer table tells you that this is a quantitative question. Additionally, all answer choices are algebraic expressions in x and y, so you will have to set up some sort of equation and solve for an unknown quantity.

Step 2: Read the prompt.

You have a vendor, a customer, the customer’s budget, and the vendor’s rental prices. Two absolute values are given (the theater’s lighting rental budget and the 4 weeks of the initial rental rate) and two variables for the two rental rates. Circle back to the tasks you have to perform. Note that they are similar but independent of each other. You will have to set up two algebraic expressions, one for each column, and solve the first one for the number of weeks per instrument, and the second one for the number of instruments per week.

Step 3: Proceed to solving, one column at a time.
Column 1: Let W be the maximum number of weeks that 1564 Theatre Group rents each of the 10 instruments. Then W – 4 is the maximum number of weeks per instrument during which 1564 Theatre Group pays $y per instrument (since for the first 4 weeks it pays $x per instrument—and remember, that’s $x in total for each instrument for the first 4 weeks, not $x per week). The total cost per instrument, then, is x + y(W − 4). The theater company is renting 10 instruments, so its total cost is 10[x + y(W − 4)]
Equate this expression to $2,000 and solve for W:

Column 2: Follow the same process you did for column 1. If 1564 Theatre Group is renting each instrument for 10 weeks, then it is paying $x for the first four weeks and $y per week for the remaining 6 weeks. Thus, it is paying
X + 6y in total for each instrument. Let I be the maximum number of instruments the theater company rents. Then, its total cost is I(x + 6y)
Equate this expression to $2,000 and solve for I:

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Light The Stage, a stage lighting equipment rental company, charges $x for the first four weeks that a lighting instrument is rented, and $y per week for each week after that. The company 1564 Theatre Group has budgeted $2,000 to spend on the rental of lighting instruments from Light TheStage for its upcoming production.In the table, indicate which expression corresponds to the maximum number of weeks per instrument for which 1564 Theatre Group can rent 10 instruments given its budget, as well as which expression corresponds to the maximum number of instruments 1564 Theatre Group can rent for a total of 10 weeks per instrument given its budget. Make only two selections, one in each column.a)Option 3, Option 2b)Option 1, Option 3c)Option 4, Option 3d)Option 5, Option 2e)Option 4, Option 2Correct answer is option 'D'. Can you explain this answer?

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Light The Stage, a stage lighting equipment rental company, charges $x for the first four weeks that a lighting instrument is rented, and $y per week for each week after that. The company 1564 Theatre Group has budgeted $2,000 to spend on the rental of lighting instruments from Light TheStage for its upcoming production.In the table, indicate which expression corresponds to the maximum number of weeks per instrument for which 1564 Theatre Group can rent 10 instruments given its budget, as well as which expression corresponds to the maximum number of instruments 1564 Theatre Group can rent for a total of 10 weeks per instrument given its budget. Make only two selections, one in each column.a)Option 3, Option 2b)Option 1, Option 3c)Option 4, Option 3d)Option 5, Option 2e)Option 4, Option 2Correct answer is option 'D'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Light The Stage, a stage lighting equipment rental company, charges $x for the first four weeks that a lighting instrument is rented, and $y per week for each week after that. The company 1564 Theatre Group has budgeted $2,000 to spend on the rental of lighting instruments from Light TheStage for its upcoming production.In the table, indicate which expression corresponds to the maximum number of weeks per instrument for which 1564 Theatre Group can rent 10 instruments given its budget, as well as which expression corresponds to the maximum number of instruments 1564 Theatre Group can rent for a total of 10 weeks per instrument given its budget. Make only two selections, one in each column.a)Option 3, Option 2b)Option 1, Option 3c)Option 4, Option 3d)Option 5, Option 2e)Option 4, Option 2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Light The Stage, a stage lighting equipment rental company, charges $x for the first four weeks that a lighting instrument is rented, and $y per week for each week after that. The company 1564 Theatre Group has budgeted $2,000 to spend on the rental of lighting instruments from Light TheStage for its upcoming production.In the table, indicate which expression corresponds to the maximum number of weeks per instrument for which 1564 Theatre Group can rent 10 instruments given its budget, as well as which expression corresponds to the maximum number of instruments 1564 Theatre Group can rent for a total of 10 weeks per instrument given its budget. Make only two selections, one in each column.a)Option 3, Option 2b)Option 1, Option 3c)Option 4, Option 3d)Option 5, Option 2e)Option 4, Option 2Correct answer is option 'D'. Can you explain this answer?.

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