uppose that the marginal revenue fron selling sandwiches is constant at $9 per sandwich. Use the folllowing cost function to determane the optimal number of sandwiches to produce/sell. TC=Q2
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Suppose that the marginal revenue fron selling sandwiches is constant at $9 per sandwich. Use the folllowing cost function to determane the optimal number of sandwiches to produce/sell.
TC=Q2
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- Given the cost function , TC = 4q2 + 9 - calculte marginal cost ?The total cost C of making x units of a commodity is given by C = 0.005(x)3 + 0.45(x)2 + 12.75(x). All units made are sold at $36.75 per unit. The profit P is then given by P = 36.75(x) - C. Find the number of units to make to maximize profit.The cost of producing 5-gallon water bottles is given by C(q) = 0.005q2 + 2q + 1000. If 2000 5-gallon water bottles are produced, fint the marginal average cost
- Given the total cost of producing x items is given by the function C(x) = 0.001x3 + 0.025x2 + 3x + 5. Compute the marginal cost of producing the 51st item.A firm is producing computer monitors. The market price per monitor is P1=$450. The cost function is given by C(Q) = 1,500 + 2.8Q2. New information indicates that the new market price is P2=$130. Given this information, what are the optimal profits at the new price?Your firm's research department has estimated your total revenues to be R left parenthesis Q right parenthesis equals 30 comma 000 Q minus 80 Q squared and your total costs to be C left parenthesis Q right parenthesis equals 1 comma 000 plus 20 Q squared. What level of Q maximizes net benefits?
- Average and marginal profit Let C(x) represent the cost ofproducing x items and p(x) be the sale price per item if x items aresold. The profit P(x) of selling x items is P(x) = xp(x) - C(x)(revenue minus costs). The average profit per item when x items aresold is P(x)/x and the marginal profit is dP/dx. The marginal profitapproximates the profit obtained by selling one more item, given that x items have already been sold. Consider the following cost functions Cand price functions p.a. Find the profit function P.b. Find the average profit function and the marginal profit function.c. Find the average profit and the marginal profit if x = a units are sold.d. Interpret the meaning of the values obtained in part (c). C(x) = -0.02x2 + 50x + 100, p(x) = 100 - 0.1x, a = 500Best 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 xs= 100-4Ps). Therefore, the total demand is x=xm+ 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?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?
- A manufacturer has found out that if he is to increase his current sales, he must lower his current price. His marginal revenue (MR) from an output x is given by the expression MR=148 – 2x. The marginal production cost (MC) is Ksh 36 and fixed costs amount to Ksh 1,000. Required i) Derive the revenue and total cost functions. ii) Determine the output and price that would maximize profit. iii) Compute the maximum profit.The demand function for small high-definition televisions is given by p = 9,000 − 55x, where p is the price, in dollars, that x televisions can be sold. The cost function (in dollars) to produce televisions is C = 3,500x + 2,000. (Simplify your answers completely.) (a)Find the revenue function, R. R = (b)Find the profit function, P. P = (c)Find how many televisions should be sold to maximize profit. televisions (d)What is the maximum profit (in dollars)? $Find the marginal cost, if TC is 4+2Q