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- (b) You are the CEO for a lightweight compasses manufacturer. The demand function for the lightweight compasses is given by p = 40 – 4q²where q is the number of lightweight compasses produced in millions. It costs the company $15 to make a lightweight compass. (i) Write an equation giving profit as a function of the number of lightweight compasses produced. (ii) At the moment the company produces 2 million lightweight compasses and makes a profit of $18,000,000, but you would like to reduce production. What smaller number of lightweight compasses could the company produce to yield the same profit? Problem зollingOnelED.. App Inventor Tic Ta... Calendly-Kathryn.. eaaesID JO Ə V Diane owns a store that sells computers. Her profit, in dollars, is represented by the function P(x) = x - 22x2 - 240x, where x is the number of computers sold. Part A: Diane hopes to make a profit of at least $10,000 by the time she sells 36 computers. Explain whether or not Diane will meet her goal. Justify your reasoning. Part B: Diane states that there are three possible values of x for which she will have a profit of$0. Find the values of x that produce a zero profit to show whether Diane is correct or not. Justify your reasoning.100 90 80 70 60 ATC 50 40 30 20 AVC МС О 10 + 0 0 5 10 15 20 30 35 40 45 50 QUANTITY (Thousands of shirts) or each price in the following table, use the graph to determine the number of shirts this firm would produce in order to maximize its profit. Assume hat when the price is exactly equal to the average variable cost, the firm is indifferent between producing zero shirts and the profit-maximizing uantity. Also, indicate whether the firm will produce, shut down, or be indifferent between the two in the short run. Lastly, determine whether it will nake a profit, suffer a loss, or break even at each price. Price Quantity (Dollars per shirt) (Shirts) Profit or Loss? Produce or Shut Down? Shut down 10 20,000 Loss Shut down 20 10,000 Loss Shut down 32 5,000 Loss Either 0 or 37,500 Shut down 40 Loss 25 COSTS (Dollars)
- (b) You are the CEO for a lightweight compasses manufacturer. The demand function for the lightweight compasses is given by p = 40−4q2where q is the number of lightweight compasses produced in millions. It costs the company $15 to make a lightweight compass. (i) Write an equation giving profit as a function of the number of lightweight compasses produced. (ii) At the moment the company produces 2 million lightweight compasses and makes a profit of $18,000,000, but you would like to reduce production. What smaller number of lightweight compasses could the company produce to yield the same profit?(b) You are the CEO for a lightweight compasses manufacturer. The demand function for the lightweight compasses is given by p 40 – 4q²where q is the number of lightweight compasses produced in millions. It costs the company $15 to make a lightweight compass. (1) Write an equation giving profit as a function of the number of lightweight compasses produced. (11) At the moment the company produces 2 million lightweight compasses and makes a pre of $18,000,000, but you would like to reduce production. What smaller number of lightweight compasses could the company produce to yield the same profit? Σ BIUG G |卡 三 = 9 ..V See Hint Suppose that Juan sells burritos. The total cost of production, based on the number of burritos produced, is shown in the following table. Number of burritos Total cost ($) 1. 8) 2. 10 3) 13 4. 18 25 34 7. 45 Suppose that the price is $6. Assuming profit maximization, how many burritos will Juan sell? asopdne
- A7 You are the manager of a bakery that produces and packages gourmet muffins, and you currently sell muffins in packages of 3. A consultant’s report has estimated the (inverse) demand of a typical consumer to: P = 3 − 0.5Q If your cost of producing bran muffins is C(Q) = Q: (a) What is the marginal cost of muffins? (b) Draw the demand and marginal cost on a diagram. (c) Determine the optimal number of muffins to sell in a single package. (d) What price should the firm charge for each park?13. The marginal profit for the new X-99 pogo stick is P'(x) = -0.1x+ 60 where x is the number of sticks produced and sold. The profit is - $1000 when 50 sticks have been produce and sold. a) Find the profit function. b) What level of production of pogo sticks (x) produces a maximum profit?8. A firm's total cost function is given by TC = 3Q; +2Q,Q, + 7Q: Where Q, and Q. denotethe number of it ems of goods 1 and 2, respect ively that are produced. Using the substitution met hod, find the values of Q, and Q. which minimize costs if the firm is committed to producing 40 goods of eit her type in total.
- Suppose that the market price increases to 6, as Table 8.14 shows. What would happen to the profit-maximizing output level?11. Explain the condition of equilibrium of a firm based on marginal cost and marginalrevenue. Need details explanation and make sure that no plagiarised answerX 1 ences If the price of oats is $3.0 per kilo, calculate the total revenue and the total profit (or loss) at the quantities shown in below table. If you are entering any negative numbers be sure to include a negative sign (-) in front of those numbers. Leave no cells blank - be certain to enter "0" wherever required. Mc Graw Hill Quantity (kilos) Total revenue Total cost Total profit $ 600 1800 $1,900 700 2100 $2,000 $ 800 2400 $2,400
