A car rental agency rents 200 cars per day at a rate of $30 per day. For each $1 increase in​ rate, 5 fewer cars are rented. At what rate should the cars be rented to produce the maximum​ income? What is the maximum ​income?

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A: Given:                         T= 394x +3123   To determine:                           The value of…

Q: Suppose the cost, in dollars, for a company to produce x items is given by the formula  C(x) =…

A: Given,            Suppose the cost, in dollars, for a company to produce x items is given by the…

Q: How many masks must Lakisha make a week to break even if her profit function is P(x) = 19x -500?…

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A: Given: Units produced in 2018 - 100000 Units produced in 2019 - 90000 To find: Pi 2018

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A: An investor invests 5000 dollars at 10%, which is one-fifth of the amount.

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A: A farmer finds that if she plants 80 trees per acre, each tree will yield 75 bushels of fruit. She…

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A: A break-even analysis is a financial tool used by organizations to identify at what stage a company,…

Q: If the demand for a pair of shoes is given by 2p+5q=300

A: Demand for a pair of shoes is given:                          2p + 5q = 300

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Q: A car rental agency rents 210 cars per day at a rate of $30 per day. For each $1 increase in rate, 5…

A: Topic- Application of derivatives

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A: We have solve this question based on profit and loss.

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Q: The owner of an ice cream franchisemust pay the parent company $1000 per month plus 5% ofthe monthly…

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Q: To approximate the profit from the production and sale of the 145th skirt, what value do you plug…

A: P(x) denotes the profit function and P'(x) denotes the marginal profit function.

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A: Since you have asked a question with multiple parts in a single request, we would be answering only…

Q: A car rental agency rents 480 cars per day at a rate of $20 per day. For each $1 increase in rate,…

A: Solution: Car rented =480 -10x rate =20+x

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A: Consider the given question,Let x be the number of the vacant apartment and Z(x) be the profit…

Q: A car rental agency rents 210 cars per day at a rate of $40 per day. For each $1 increase in rate, 5…

A: Solution:-Step:1      For each one dollar  increases, 5 fewer  car  are rented.   If 'x'  is added…

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Q: A car rental agency rents 190 cars per day at a rate of $30 per day. For each $1 increase in rate, 5…

A: Let rate be 'x' So,   Income = x190-5x-30=190x-5x2+150x=340x-5x2To maximize:f=340x-5x2

Q: A car rental agency rents 440 cars per day at a rate of $40 per day. For each $1 increase in rate,…

A: Let x be the number of $1 increases in the rate. From the given information, the total number of…

Q: A car rental agency rents 190 cars per day at a rate of 32 dollars per day. For each 1 dollar…

A: This question can be solved using the concept of maxima and minima

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Q: The business manager of a 90 unit apartment building is trying to determine the rent to be charged.…

A: Let he should increase the rent by $20 , x times So the new rent is = 400+20x And units sold = 90-x…

Q: a car rental agency rents 200 cars per day at the rate of $40 per day. For each $1 increase in rate,…

A: The double derivative test is used to optimize (maximize or minimize) a function. Follow the steps…

Q: A company marks up the cost of all of items by 290%. If they want to have a sale, what is the…

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Q: A farmer estimates that if he digs his potatoes now he will have 120 bushels, which he can sell at…

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Q: A car rental agency rents 210 cars per day at a rate of 32 dollars per day. For each 1 dollar…

A: Given query is to find the maximum possible rate for maximum profit.

Q: A car rental agency rents 440 cars per day at a rate of $40 per day. For each $1 increase in rate,…

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Q: A parking garage charges ​$2.38 for the first hour and ​$0.50 for each additional hour or part of an…

A: Given,           A parking garage charges ​$2.38 for the first hour and ​$0.50 for each additional…

Q: A car rental agency rents 420 cars per day at a rate of $20 per day. For each $1 increase in rate,…

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Q: In planning a restaurant, it is estimated that a daily profit of $6 per seat will be made if the…

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A: Given x is the total hours worked. And beyond 5 hours it will be overtime hours.

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Q: aw and $220 on a chipper. How many of each should be ass in the maximum profit, assemble chain saws…

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Q: armer finds that if she plants 90 trees per acre, each tree will yield 75 bushels of fruit. She…

A: The maxima or minima of a function is were the first derivative is 0. For that point being maxima…

Q: A cable company has 5000 paying customers when it bills $20/month. If it figures to lose 400…

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Q: The average customer at Longhorn Steakhouse spends $28.00 per meal with a margin of error of 10%.…

A: We have to find cost.

Q: Answer the following. Solve for two positive numbers whose product is 121 and whose sum is a…

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Q: A company marks up the cost of all of items by 290%. If they want to have a sale, what is the…

A: Given, A company marks up the cost of all items by 290%. Let the cost price, CP be 100, then SP =…

Q: A basic cell package costs $25/month for 80 minutes of calling, with an additional charge of…

A: So maximum cost should be $50 Thus,