A local gym currently charges $38/month and has a membership of 520 people. Market research reveals that 24 fewer people would pay for a membership for each $3 increase in dues, 24 more for each $3 decrease. What should the gym charge to maximize monthly revenue? How many people would pay for a membership at this price? Prove your answer.

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A: Given A local gold market that currently has 2550625 subscriber and quarterly charge of R.O. 19 .…

Q: A financier plans to invest up to $500,000 in two projects. Project A yields a return of 8% on the…

A: Given: Total investment in both the projects is upto $500,000.            Return yielded by the…

Q: A movie rental company has 1000 subscribers, and each pays $15 per month. On the basis of a survey,…

A: The maximum of a function is obtained by differentiating the function and equating it to 0 to find…

Q: Maria holds two part-time jobs, Job A and Job B. She never wants to work 56 hours a week. If…

A: let number of hours spent at job A be x  So, let's say she works at her peak limit each week, i.e.…

Q: Last fall the SAC sold 80 PHS sweatshirts for $40 each. A survey shows that for every $2 decrease in…

A: Consider the provided question, Last fall the SAC sold 80 PHS sweatshirts for $40 each. A survey…

Q: A university is trying to determine what price to charge for tickets to football games. At a price…

A: SOLUTION-

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A: Given Information -  If the rent is $500 then all 100 units apartment of complex will be occupied.…

Q: The manager of a large apartment complex knows from experience that 80 units will be occupied if the…

A: The manager of a large apartment complex knows from experience that 80 units will be occupied if the…

Q: If the total revenue function for a hammer is R = 36x-0.001x^2, then sales of how many hammers, x,…

A:

Q: An investor has $75,000 to invest in a CD and a mutual fund. The CD yields 8% and the mutual fund…

A: We have to find how much should be invested in the mutual fund to maximize the return.

Q: The manufacturer of a CD player has found that the revenue R (in dollar) is R(p)=-5p^2+1,090p, when…

A: The revenue function is R(p)=-5p2+1090p where unit price is p dollars. Differentiate with respect to…

Q: The manager of a large apartment complex knows from experience that 90 units will be occupied if the…

A: let R be the revenue, and let n be the number of (up or down) $4 in rent. Hence the equation for…

Q: What ticket price would maximize revenue? $

A:

Q: The specialized magazine Negocios de América has an annual registration fee of $ 20, and last year…

A: Given information: Annual registration fee of a magazine = $ 20. Number of subscriber  = 2,000 For…

Q: An automobile dealer can sell 12 cares per day at a price of $15,000. He estimates that for each…

A: An automobile dealer can sell 12 cares per day at a price of $15,000. He estimates that for each…

Q: The marketing department of a local shoe company found that approximately 700 pairs of running shoes…

A: Monthly sales of shoes are 700 and the price of each pair is $93.  For each $1 was reduced in price…

Q: A walnut grower estimates from past records that if 20 trees are planted per acre, then each tree…

A: to find : (i) no. of trees to be planted for maximum yield per acre. (ii) maximum yield per acre.

Q: If, in a monopoly market, the demand for a product is p = 2800 − x and the revenue is R = px, where…

A:

Q: An electronics store manager stocks from 20 to 30 IBM-compatible computers and from 30 to 50…

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Q: A merchant can sell 60 items per day when he charges $1.60 for that item. He has observed that for…

A: NOTE: Refresh your page if you can't see any equations. . A merchant can sell 60 items per day when…

Q: An apple grower finds that if she plants 40 trees per acre, each tree will yield 230 bushels of…

A: Let x be the number of additional tress.From the given information, the total number of trees is (40…

Q: A 350-unit hotel is trying to determine their daily rates. From experience, the hotel manager knows…

A: Given Number of Units: 350  Daily Room Rent: $94  Rent after increasing x dollars: 94 + x  Units…

Q: What price per ticket should be charged in order to maximize​ revenue? How many people will attend…

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Q: A retailer has been selling 2.000 computers a week at $850 each. The marketing department predicts…

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Q: Bernadette intends to invest up to ₱50,000 in either Best Fund, or a time deposit or both. The Best…

A: Given that Bernadette intends to invest an amount of Php 50,000 in either a trust fund or a time…

Q: During the 1950s the wholesale price for chicken for a country fell from 25¢ per pound to 14¢ per…

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Q: A parking garage charges 3 dollars plus 85 cents per half-hour.  A linear cost function for the…

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Q: The percent return rate of a growth fund, income fund, and money market are 10%, 7%, and 5%…

A: To determine the amount invested in the growth fund, income fund and money fund.

Q: The goal of the transportation model is to maximize the transportation cost. * True False

A: The transportation model is a special case of linear programming problems in which the objective is…

Q: Kevin is an auto mechanic. He spends 2 hours when he replaces the shocks on a car and 2 hours when…

A:

Q: A retailer currently sells 15 tablets per day at a cost of $568. Market research indicates that for…

A: we know that revenue is given by, R = price x quantity Let x = number of times the price is reduced…

Q: The manager of a large apartment complex knows from experience that 120 units will be occupied if…

A:

Q: A farmer finds that if she plants 95 trees per acre, each tree will yield 65 bushels of fruit. She…

A:

Q: A university is trying to determine what price to charge for tickets to football games. At a price…

A: Given that the price of ticket  = $ 28 So , cost of ticket = 28 - x Every decrease of  $ 4 add…

Q: An investor has $60,000 to invest in a CD and a mutual fund. The CD yields 7% and the mutual fund…

A:

Q: The manager of a 100-unit apartment complex knows from experience that all units will be occupied if…

A: It is given that The manager of a 100-unit apartment complex knows from experience that all units…

Q: A farmer finds that if she plants 60 trees per acre, each tree will yield 35 bushels of fruit. She…

A:

Q: Afarmer finds that if she plants 100 trees per acre,, each tree will yield 40 bushels of fruit. She…

A:

Q: A grocery store has been selling frozen pizzas at $5 each, and at this price, customers have been…

A:

Q: A Florida citrus grower estimates that if 60 orange trees are planted, the average yield per tree…

A: Let X be the number of additional trees planted  The expression for the yield Y is  Y =…

Q: The demand for monorail service in the three districts of Utarek on Mars can be approximated by q =…

A: Given that: The demand for monorail service in the three districts of Utarek on Mars can be…

Q: A farmer finds that if she plants 55 trees per acre, each tree will yield 50 bushels of fruit. She…

A: Let x be trees per acre and y be yield.  The given data is represented in an equation,…

Q: An oil- producing country can sell 7 million barrels of oil a day at price of $90 per barrel. If…

A:

Q: A financier plans to invest up to $500,000 in two projects. Project A yields a return of 10% on the…

A:

Q: An investor has $80,000 to invest in a CD and a mutual fund. The CD yields 6% and the mutual fund…

A:

Q: A peach tree will yield 100 pounds of peaches now, which will sell for 40 cents a pound. Each week…

A: We know that ,  Revenue = price • quantity  R( x ) = p(x ) • q ( x )

Q: An investor has $75,000 to invest in a CD and a mutual fund. The CD yields 7% and the mutual fund…

A: This question can be solved by applying the concept of linear programming.

Q: The manager of a large apartment complex knows from experience that 80 units will be occupied if the…

A: Let us assume he has to increase 3 dollars x times.So, the new rent= 396-3x Number of units will be…

Q: An electronics store sells an average of 60 entertainment units per month for an average price of…

A: Let us assume a function f(x). For the function f(x), the rate of change of function is given by the…

Q: An automobile dealer can sell 12 cars per day at a price of $20,000. He estimates that for each $300…

A: