A toll road commission is planning to locate garages for tow trucks along a 94-mile circular highway. Each garage has a fixed cost of $4,500 per day. Towing jobs are equally likely along any point of the highway, and cost per mile towed is $47. If there were 4,500 towing jobs per day, what number of garages would minimize the sum of the fixed costs and towing costs? Instructions: Enter your answer as a whole number. garages

The profit of a company, in dollars, is the difference between the company's revenue and cost. The cost, C(x), and revenue, R(x), are functions for a particular company. The x represents the number of items produced and sold to distributors. C(x)=-2300+40x R(x)=840x-x² a) Determine and simplify the profit function. Write your answer in descending order. P(X)-

Assume that the linear cost and revenue models apply. An item costs $6 to make. If fixed costs are $2400 and profits are $2100 when 100 items are made and sold, find the revenue equation. (Let x be the number of items.) R(x) =

Consider an airline's decision about whether to cancel a particular flight that hasn't sold out. The following table provides data on the total cost of operating a 100-seat plane for various numbers of passengers. Total Cost Number of Passengers (Dollars per flight) 40,000 10 60,000 20 65,000 30 68,000 40 70,000 50 71,000 60 72,500 70 73,500 80 74,000 90 74,300 100 74,500 Given the information presented in the previous table, the fixed cost to operate this flight is s At each ticket price, a different number of consumers will be willing to purchase tickets for this flight. Assume that the price of a flight is fixed for the duration of ticket sales. Use the previous table as well as the following demand schedule to complete the questions that follow. Price Quantity Demanded (Dollars per ticket) (Tickets per flight) 1,000 700 30 400 90 200 100

You own a company that produces helmets. You are currently selling 100 helmets per week. Your average total cost of producing these helmets is $100. Recall ATC=TC/Q. A customer comes to your store and says he needs a helmet and will pay you $95 for it. Thus you need to produce the 101st helmet if you make the sale. Your average total cost if you produce 101 helmets is $99.95. Do you sell the helmet to the customer for $95?

Given Cost and Price (demand) functions C(q) = 110q + 45000 and p(q) = - 2.8q + 800, what profit can be earned if the price is set to be $550 per item? U The profit is $ 1,?9 (Round to the nearest cent.) A company produces a special new type of TV. The company has fixed costs of $499,000, and it costs STT00 to produce each TV. The company projects that if it charges a price of $2300 for the TV, it will be able to sell 850 TVs. If the company wants to sell 900 TVs, however, it must lower the price to $2000. Assumo a linear demand. What is the marginal profit if 200 TVs are produced It is $ 0 per item. (Round answer to nearest dollar.)

Question 22

The cost structure of a manufacturer of microchips is described in the table shown below. The firm's fixed costs equal $10,000 per day. Calculate the average variable cost, average fixed cost, and average total cost at each output level. (Your answers should be rounded to the nearest cent.) Output (microchips per day) Average Total Cost ($) Total Cost of Average Variable Cost ($) Average Fixed Cost ($) Output $10,000 20,000 60,000 45,000 95,000 70.000 150.000 95,000 220.000 120,000 325.000 145.000 465,000

A manager must decide how many machines of a certain type to purchase. Each machine can process 100 customers per day. One machine will result in a fixed cost of $2,200 per day, while two machines will result in a fixed cost of $3,700 per day. Variable costs will be $20 per customer, and revenue will be $45 per customer. a. Determine the break-even point for each range. (Round your answers to the next whole number.) One machine Two machines b. If estimated demand is 90 to 120 customers per day, how many machines should be purchased?

Imagine a smartphone company has the following costs when they produce 200 phones: $50 in average fixed cost and $140 in average total cost. What would be the total variable cost for this company when they produce 200 phones? Type your numeric answer and submit