The demand for monorail service in Las Vegas in 2005 can be approximated by q=−4500p+41500 rides per day when the fare was $p. What price should have been charged to maximize the total daily revenue?

Q: If club members charge $3 admission to a classic car show, 1000 people will attend, and for each $1…

A:

Q: A chain saw requires 5 hours of assembly and a wood chipper 8 hours. A maximum of 80 hours of…

A: Let x be chain saw assembled And y be Wood chipper assembled So Total time taken to assemble = 5x +…

Q: An artist is planning to sell signed prints of her latest work. If 50 prints are offered for sale,…

A: Definition used -        Maximum revenue -           For finding maximum revenue from a given…

Q: A chain saw requires 3 hours of assembly and a wood chipper 8 hours. A maximum of 48 hours of…

A: Number of maximum hrs=48 Maximum number of assembly by chain saw assuming zero wood chipper running…

Q: A real estate firm owns 100 apartments. at 400 pounds per month, each apartment can be rented,…

A:

Q: Entire Project sold for $3,200,000 with Phase II selling for 20% more than Phase I, and Phase III…

A:

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

A:

Q: The owner of an apartment building can rent all 50 apartments if she charges $600 per month, but she…

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

Q: The speed-up company manufactures bicycles. Fixed costs are $600 and the cost of producing each…

A: Solution of the problem as follows

Q: For seling x cakes, a baker will make b(x) = x- 5x-150 hundreds of dollars in revenue. Determine the…

A: Solve for x2–5x−150 > 0 in order to make a profit.

Q: After a hurricane, repairs to a roof will cost $2400 for materials and $80/hr in labor.a. Write a…

A: a)  The repairs to a roof will cost $2400 for materials and $80/hr in labor. Consider the number of…

Q: A baseball team plays in a stadium that holds 60000 spectators. With the ticket price at $9 the…

A: We have to find the maximize revenue.

Q: A 6000-seat theater has tickets for sale at $24 and $40. How many tickets should be sold at each…

A:

Q: A chain saw requires 5 hours of assembly and a wood chipper 3 hours. A maximum of 30 hours of…

A:

Q: The design of a digital box camera maximizes the volume while keeping the sum of the dimensions at…

A: Explanation of the solution is given below....

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

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

Q: Bill and Brandon are downhill mountain-biking. Bill starts 500 feet ahead of Brandon and bikes at a…

A: Suppose, it will take t seconds for Brandon to catch up Bill So, at a rate of 42 feet/sec , Brandon…

Q: solve: fx"- 4x-3y=et-6 5x+y + 4y = 8+ cost

A:

Q: A cable TV company has 4800 customers paying $110 each month. If each $1 reduction in price attracts…

A: using differentiation to find maximum revenue.

Q: An oil-producing country can sell 7 million barrels of oil a day at a price of $110 per barrel. If…

A:

Q: A chain saw requires 8 hours of assembly and a wood chipper 4 hours. A maximum of 64 hours of…

A: In the question it is asked to calculate the number of chain saws and wood chippers to be produced…

Q: A store purchased an item for $25 and planned to sell it for $43.75 so that their profit would be…

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

Q: Under her cell phone plan, Autumn pays a flat cost of $66 per month and $5 per gigabyte, or part of…

A: Fixed for her cell phone plan=$66cost of per gigabyte or part of a gigabyte=$5Her total budget to…

Q: A baseball team plays in a stadium that holds 55,000 spectators. With ticket prices at $10, the…

A: The demand function P(x) gives the price for x units sold so in this problem x is the attendance,…

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

A: The owner of an ice cream franchise must pay the parent company $1000 per month plus 5% of the…

Q: The sum of two numbers is 12. if one number is x, what is the value of x such that the product of…

A: Here, let the two numbers be: x & y Then, x+y=12⇒y=12-x Now, the product of the two numbers be:…

Q: Some years ago it was estimated that the demand for steel approximately satisfied the equation…

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Q: Stephanie is looking at apartments with 2 of her friends. They want the monthly rent to be no more…

A:

Q: A real estate office handles a 60-unit apartment complex. When the rent is $530 per month, all units…

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

Q: The personnel manager of a department store estimates that if she hires n temporary salespersons for…

A: Please refer to the image below

Q: A certain electronics manufacturer found that the average cost C to produce x DVD/Blu- ray players…

A:

Q: A baseball team plays in a stadium that holds 54000 spectators. With the ticket price at $11 the…

A: Given that a baseball team plays in a stadium that holds 54000 spectators. With the ticket price at…

Q: Monica is selling perfume. At $50 each perfume bottle, she sells 10 a day. For $10 decrease in…

A: Given query is to find the change to maximize the revenue.

Q: Mr. Raza, a drug store retailer, sells surgical face masks and KN95 masks. He can regularly acquire…

A:

Q: After a  hurricane, repair to roof will cost $2900 for materials and $50/hr in labor. a) Write a…

A: Given,After a  hurricane, repair to roof will cost $2900 for materials and $50/hr in labor.

Q: The profit from a grove of orange trees is given by x(230-x)  dollars, where x is the number of…

A:

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

A:

Q: A cable TV company has 5600 customers paying $130 each month. If each $1 reduction in price attracts…

A:

Q: A cable TV company has 3200 customers paying $130 each month. If each $1 reduction in price attracts…

A:

Q: I'm having trouble figuring where I made an error

A: Let x be the amount at which daily rental is increased. Car agency rents 480 cars per day at a rate…

Q: Currently, a discount appliance store is selling 200 large-screen TVs each month. If the store…

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

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

A: Let x be the number of seats that is beyond 50 seats, Then the daily profit per seat is decreased by…

Q: Find the numbers of units that must be sold to give zero revenue. Price is p=9000-0.1x2 Revenue is…

A: Consider the given revenue.

Q: A 6000-seat theater has tickets for sale at $26 and $40 How many tickets should be sold at each…

A: We can find the answer as below.

Q: The starting fare of MiniCabs is 2.00 GBP higher than of BlackCabs, however the ride fare is lower…

A: let starting fare of Minicabs be x GBP  and starting fare of Blackcabs be y GBP.According to the…

Q: A chain saw requires 5 hours of assembly and a wood chipper 2 hours. A maximum of 30 hours of…

A: Let the x chai saw and y wood chipper is assemble. Since chain saw takes 5 hrs to assemble and wood…

Q: The average cost function for the weekly manufacture of retro portable CD players is given by C(x) =…

A:

Q: A 6000​-seat theater has tickets for sale at ​$25 and ​$40. How many tickets should be sold at each…

A:

Q: A real estate office handles a 40-unit apartment complex. When the rent is $540 per month, all units…

A: Number of units of apartment = 40 Let x be the number of units vacant when the price increase to $25…