Best Orange Juice Company is located in Oman. The cost function for total orange juice production (x) is given by C(q) = 0.25x². Their orange juice is demanded only in Muscat (Muscat demand is Xm 100-2Pm) and Salalah (Salalah demand is X=100-4P,). Therefore, the total demand is x-&nt Xs. If the company can control the quantities supplied to each market, how many should it sell in each location to maximize total profits? What price would it charge in each location?
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- Market research for a certain ice cream company indicates that if the price per cup of ice cream is P50.00, the demand will be 1200 cups, whereas if the price is increased to P60.00, the demand will be 1100 cups. Therefore, at a production level of 200 cups of ice cream, the revenue generated by the company would be $130 for each additional cup of ice cream produced. Now, suppose it is known that the total cost of production of x cups of ice cream is given by C(x) = 3x + 25,500. (a) Find the value(s) of x at the break-even points. (b) Use marginal analysis to approximate the profit from the sale of the 500th cup of ice cream. Compare this value with the exact profit from the sale of the 500th cup.A small business woman has realized that for one of her products, if the price per unit is GH¢20 she can sell 300 units a day. On the other hand, if the price per unit is reduced to GH¢13, she can sell 440 units a day. From the accounting records, her accountant has estimated the fixed cost of production as GH₵2,000 with a variable cost per unit of GH¢10. (i). Find an expression relating price and output assuming it is linear. (ii). State the total cost function, assuming it is linear. (iii) Advise the business woman on the level of production at which she will breakeven.The market demand and supply functions for a type of carpet known as KP-7 have been estimated, respectively, as: QD = 160 – 6P, QS = – 100 + 20P. where P is the price (dollars per yard) and Q is the rate of sales (hundreds of yards per month). A typical firm in this market has a total cost function given as: TC = 100 – 22q + 2q2, where q is the firm’s output level. The optimal amount to produce for the typical firm is q =
- Beta Industries manufactures floppy disks that consumers perceive as identical to those produced by numerous other manufacturers. Recently, Beta hired an econometrician to estimate its cost function for producing boxes of one dozen floppy disks. The estimated cost function is C = 20 + 2Q^2. a. What are the firm's fixed costs? b. What is the firm's marginal cost? Now suppose other firms in the market sell the product at a price of $10 c. How much should this firm charge for the product? d. What is the optimal level of output to maximize profits? e. How much profit will be earned? f. In the long run, should this firm continue to operate or shut down? Why? *Please show all work*If C = 0.0001Q2 + 3Q + 6000 is a total-cost function, find the marginal cost when Q = 100.Suppose a company has fixed costs of $53,200 and variable cost per unit of 1/3x + 444 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 2372 − 2/3x dollars per unit. (a) Find the break-even points. (Enter your answers as a comma-separated list.) x = (b) Find the maximum revenue. (Round your answer to the nearest cent.) $ (c) Form the profit function P(x) from the cost and revenue functions. P(x) = Find maximum profit. $ (d) What price will maximize the profit? (Round your answer to the nearest cent.) $
- After an analysis of a large number of small businesses with two to nine employees, it was determined that, in a certain market sector, the operating costs C, in thousands of dollars, could be modeled by the function(pic#2)...., where p is the number of employees working for the firm. On the other hand, the realized revenue, R, of a firm could be determined as a function of the operating costs C, where R=(pic#1)... R and C are expressed in thousands of dollars. a) Based on the analysis, what would be the operating costs for a business with three employees? b) What would be the revenue for a company with three employees? c) Determine the equation that would model the realized revenue, R, as a function of the number of employees.Given the cost function , TC = 4q2 + 9 - calculte marginal cost ?Ptarmigan Company produces two products. Product A has a contribution margin of $84.00 and requires 8 machine hours. Product B has a contribution margin of $133.90 and requires 13 machine hours. Determine the most profitable product assuming the machine hours are the constraint. If required, round your answers to two decimal places.
- A U.S. export-import shipping company operates a general cargo carrier service between New York and several western European ports. It hauls two major categories of freight: manufactured items (Q1Q1) and semimanufactured raw materials (Q2Q2). The demand functions for these two classes of goods are: P1= 200-Q1 P2=80-Q2 Where Qi= tons of frieght moved. The total cost function for the United States is TC= 20+4(Q1+Q2) What is the firm's total profit function? The profit-maximizing levels of price and output for manufactured items are $ per ton and tons, respectively. The profit-maximizing levels of price and output for semimanufactured raw materials are $ per ton and tons, respectively. At these levels of output the marginal revenue in the manufactured items market is $ and the marginal revenue in the semimanufactured raw material market is $ . At these prices, the price…The daily cost to manufacture generic trinkets for gullible tourists is given by the cost function C(x) = −0.001x2 + 0.3x + 500 dollars where x is the number of trinkets. a. As x increases, the marginal cost(A) increases (B) decreases (C) increases, then decreases. (D) decreases, then increases. b. As x increases, the average cost(A) increases (B) decreases (C) increases, then decreases. (D) decreases, then increases. c. The marginal cost is(A) greater than (B) equal to (C) less than the average cost when x = 100.Consider the production function: Y = 0.75X + 0.0042X2 – 0.000023X3 If input price is 0.15$ and output price is 4$ then at what level of X, profit will be maximum?