10. All-Leather is a leather tanning company in Chicago. Its total cost function is C(QA) = 130 + 6QA + 2Qa², where Qa is leather production per week in thousands of pounds. a) What is the formula for All-Leather's marginal cost function? b) If leather sells for $246 per thousand pounds, how much leather will All-Leather produce? c) How much profit will All-Leather make?
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- ***What would this look like in EXCEL, Graph and Table*** The cost function for Acme Laundry is: TC(q)=10+10q+q^2 so its marginal cost function is: MC(q)=10+2q where q is tons of laundry cleaned. Derive the firm's average cost and average variable cost curves. What q should the firm choose so as to maximize its profit if the market price is p? How much does it produce if the competitive market price is p = 50?All-Leather is a tanning company in Chicago. Its total cost function is C(QA) = 25 + 10QA + 4QA2, where QA is leather production per week in thousands of pounds. a) What is the formula for All-Leather's marginal cost function? b) If leather sells for $1190 per thousand pounds, how much leather will All-Leather produce? c) How much profit will All-Leather makeA major software developer has estimated the demand for its new personal finance software package to be Q=1,000,000P-2 while the total cost of the package is C = 10,000+ 25Q. If this firm wishes to maximize profit, what percentage markup should it place on this product where percentage markup is defined as 100*(sale price - marginal cost)/marginal cost? 4. a. b. C. d. e. ANS: 90% 100% 20% 40% 250%
- 7. Assume that the marginal cost curve is given by mc(q) = 100 + 2q. (a) If the price is $160, what is the optimal production for the firm? What if the price is $120? (ignore the shut-down decision for this part) (b) Assuming that the market is cleared at $160 (no shortage/surplus). If the market demand is equal to 10,000 units of the product. How many firms are currently operating (n) in the market? (Hint: if the market clears qª = n x q°) (c) If the total cost curve is TC 256 + 100g + q², what's the average total cost curve? %3| what's the break-even price? (d) If the demand curve is given by qd = 8, 452 – p, what's the long-run equilibrium price, the equilibrium quantity and the long-run total number of firms (n) in the industry?Given - p=35−0.5QTC=0.5Q2+5Q A)What is the profit function? Can it be maximized? B)What is profit maximizing quantity and price? C)What is the maximum possible profit? D)What are the break-even quantities? E)What quantity minimizes total cost? What is minimum total cost?For each price in the following table, calculate the firm's optimal quantity of units to produce, and determine the profit or loss if it produces at that quantity, using the data from the graph to identify its total variable cost. Assume that if the firm is indifferent between producing and shutting down, it will produce. (Hint: You can select the purple points [diamond symbols] on the graph to see precise information on average variable cost.) Price (Dollars per oven) 25.00 70.00 100.00 Quantity (Ovens) Total Revenue (Dollars) Fixed Cost (Dollars) 1,600,000 1,600,000 1,600,000 Variable Cost (Dollars) Profit (Dollars) If the firm shuts down, it must incur its fixed costs (FC) in the short run. In this case, the firm's fixed cost is $1,600,000 per day. In other words, if it shuts down, the firm would suffer losses of $1,600,000 per day until its fixed costs end (such as the expiration of a building lease). This firm's shutdown price-that is, the price below which it is optimal for the…
- Q2)Tony Keonte owns a factory that manufactures Eye-Games. His weekly profit (in thousands of dollars) is given by the following function: P(x) = -4x2 + 80x- 300. Where x is the number of Eye-Games sold. a) What is the largest number of Eye-Games that the company can sell and still make profit? (25 points) b) How many Eye-Games will the firm have to produce and sell in order to maximize profit? (25 points)|1.6.1 A company manufactures and sells x dellphones per week. The weekly price-demand and cost equations are given below. p= 400 - 0.5x and C(x) = 20,000 + 140x (A) What price should the company charge for the phones, and how many phones should be produced to maximize the weekly revenue? What is the maximum weekly revenue? The company should produce (Round to the nearest cent as needed.) phones each week at a price of $ The maximum weekly revenue is $ (Round to the nearest cent as needed.) (B) What price should the company charge for the phones, and how many phones should be produced to maximize the weekly profit? What is the maximum weekly profit? The company should produce (Round to the nearest cent as needed.) phones each week at a price of $ The maximum weekly profit is $ (Round to the nearest cent as needed.)14.The demand function for a new product is p(x) = - 2x + 7 , where p is the selling price of the product and x is the number sold in thousands. The cost function is C(x) = x + 2 . a) Determine an equation for the profit, in standard form and in function notation. b) How many units must be sold for the company to break even?
- A particular computing company finds that its weekly profit, in dollars, from the production and sale of x laptop computers is P(x) = -0.006x³ -0.3x² +600x-800. Currently the company builds and sells 7 laptops weekly a) What is the current weekly profit? b) How much profit would be lost if production and sales dropped to 6 laptops weekly? c) What is the marginal profit when x = 7? d) Use the answer from part (a) and (c) to estimate the profit resulting from the production and sale of 8 laptops weekly a) The current weekly profit is $ (Round to the nearest cent as needed) b) The decrease in profit is $ (Round to the nearest cent as needed.) c) The marginal profit when x=7 is $ (Round to the nearest cent as needed) CLOT d) The profit resulting from the production and sale of 8 laptops weekly is approximately $ (Round to the nearest cent as needed)Examine the graph below that presents costs for a typical olive oil producer and answer questions: a) What is the ATC, AVC and AFC at q = 12? (approximate to one decimal) ATC = AVC = AFC = What is TC, VC and FC at q = 12? Show your calculations. b) If the price of olive oil is $3.50, how much oil would a price - taking firm be willing to produce and sell? Would the firm be able to make a profit at this price? If not, would there be a loss? Calculate & indicate profit/loss box on the graph above. c) According to the graph, what is the break- even price/cost of a pound of olive oil? d) If the olive oil prices rise to $6 per kilogram, would the firm make a profit? How much it would be willing to sell at this price? ง 5) Examine the graph below that presents casts for a typical olive oil producer and answer questions: a) What is the ATC, AVC and AFC at q-12? (approximate to one decimal) ATC= AVC- What is TC, VC and FC at q-12? Show your calculations. AFC= MC ATC AVE Quantity 18 b) If the…The figure shows a bakery's marginal and average cost curves, and its isoprofit curves. The bakery is a price-taker in a large bread market. Suppose the current market price is P₁. Based on this information, which of the following statements is correct? Price, Cost €6 (5 20 40 60 80 Quantity MC hoprofits AC 100 120 140 160 180 number of loaves Select one or more: a. The bakery would be better off raising its price up to its AC level. O b. The bakery would be minimising its loss at A. Oc. If the bakery is not yet in the market then it would not enter the market. d. If the bakery is already in the market, then it would always immediately exit the market because it is making a loss.