Urban Decay Cosmetics produces q units of setting sprays and their short-run total cost is given by STC = 2q2-15q+162. Which value of q will minimize Urban Decay’s average cost?
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Urban Decay Cosmetics produces q units of setting sprays and their short-run total cost is given by STC = 2q2-15q+162. Which value of q will minimize Urban Decay’s average cost?
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- The daily cost to manufacture generic trinkets for gullible tourists is given by the cost function C(x) = -0.001x2 + 0.7x + 590 dollars, where x is the number of trinkets. (a) Find C'(x). C'(x) = As x increases, the marginal cost does which of the following? increases decreases increases then decreases decreases then increases (b) Find C(x). C(x) = As x increases, the average cost does which of the following? increases decreases increases then decreases decreases then increases (c) Find the following values. C'(100) = C(100) The marginal cost is less than the average cost when x = 100. Submit Answer O O11.2 The cost, in thousands of dollars, of airing x television commercials during a sports event is given by C(x) = 20 + 3,000x + 0.01x2. (a) Find the marginal cost function C'(x). HINT [See Example 1.] C'(x) = Use it to estimate how fast the cost is increasing when x = 4. thousand dollars per television commercialCompare this with the exact cost of airing the fifth commercial. The cost is going up at the rate of $ per television commercial. The exact cost of airing the fifth commercial is $ . Thus, there is a difference of $ . (b) Find the average cost function C, and evaluate C(4). HINT [See Example 2.] C(x) = C(4) = thousand dollars per television commercial What does the answer tell you? The average cost of airing the first four commercials is $ per commercial.The market for high-quality caviar is dependent on the weather. If the weather is good, there are many fancy parties and caviar sells for 300 SEK per kg. In bad weather it sells for only 200 SEK per kg. Caviar produced one week will not keep until the next week, i.e. it has to be sold and consumed the same week it is produced. A small caviar producer has a cost function given by C=5q2 - 50q + 1000 where q is the weekly caviar production. Production decisions must be made before the weather (and hence the price of caviar) is known, but it is known that good weather and bad weather each occur with a probability of 0.5. a) How much caviar should the firm produce per week if it wishes to maximise its expected profit? b) Suppose the owner of the firm has a utility function of the form U(π)=√π where π is weekly profits. What is the expected utility associated with the strategy in (a)? c) Suggest a weekly production level that would give the owner higher expected utility than the…
- The market for high-quality matsutake mushrooms is dependent on the weather. If the weather is good, one kilogram matsutake mushroom can be sold for $30. In bad weather it sells for only $20 per kilogram. Matsutake mushrooms produced one week will not be kept until the next week, A small matsutake mushrooms producer has a cost function given by C = 0.5q^2 + 5q + 100 where q is weekly matsutake mushrooms production. Production decisions must be made before the weather (and the price of matsutake mushrooms) is known, but it is known that good weather and bad weather each occur with a probability of O.5. How much matsutake mushrooms should this firm produce if it wishes to maximize the expected value of its profits?Find the marginal cost for TC = 10x3+4x2+1A 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
- What is the difference between a price analysis and a cost analysisThe cost, in thousands of dollars, of airing x television commercials during a sports event is given by C(x) = 150 + 2,600x – 0.06x2. (a) Find the marginal cost function C'(x). C'(x) = (b) Use the marginal cost to approximate the cost to air the 5th commercial. Convert your answer to dollars. The cost to air the 5th commercial is approximately X dollars. (c) What is the exact cost to air the 5th commercial? Convert your answer to dollars. The exact cost to air the 5th commercial is x dollars.Given the cost function , TC = 4q2 + 9 - calculte marginal cost ?
- Suppose the total cost of producing T-shirt can be TC = 50+2q. The average cost ofSuppose that the dollar cost of producing x appliances is c(x) = 1000 + 70x-0.1x². a. Find the average cost per appliance of producing the first 100 appliances. b. Find the marginal cost when 100 appliances are produced. c. Show that the marginal cost when 100 appliances are produced is approximately the cost of producing one more appliance after the first 100 have been made, by calculating the latter cost directly. CUCKO The average cost per appliance of producing the first 100 appliances is $ (Round to the nearest cent as needed.) /appliance.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) 25,000 10 35,000 20 40,000 30 43,000 40 45,000 50 46,000 60 47,000 70 47,700 80 48,000 90 48,200 100 48,100 Given the information presented in the previous table, the fixed cost to operate this flight is $ 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) 700 550 40 200 60 100 100 Complete the following table by computing total revenue, total cost, variable cost, and profit for each of the prices listed. (Hint: Be sure to…