Supply for a product is given by 2p - 9 + 6 = 0 and demand is given by (D + 9)(9 + 10) = 3696. Suppose costs are C(g) = 4 + 100. Find the profit at the equilibrium point
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Supply for a product is given by 2p - 9 + 6 = 0 and demand is given by
(D + 9)(9 + 10) = 3696. Suppose costs are C(g) = 4 + 100. Find the profit at the equilibrium point
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- A bookstore owner can sell 26 magazines at a price of $1.38 per magazine. If the price is $1.10, he can sell 30 magazines. The total cost to purchase x magazines is C(x) = 0.65x+7.75 dollars. Step 1 of 3: Assuming the demand function is linear, find an equation for D(x). Do not round your answer.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)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?
- The market for smart thermostats has grown increasingly competitive. Producers of smart thermostats all rely on the same technology and face the same costs. The cost function for a smart thermostat producer is given by the following function: c(y)=-10y+2003 where y stands for the number of smart thermostats produced and sold in a month. 2nd attempt Suppose the market demand for smart thermostats in any month is given by QD = 305 - p. In the long-run equilibrium, we would expect to find firms in the industry. See HintA manufacturer of upholstery can sell 2121 yards of fabric at a price of $3.11$3.11 per yard. If the price is $1.85$1.85, she can sell 3535 yards. The total cost of manufacturing x yards of fabric is C(x)=0.6x+36C(x)=0.6x+36 dollars. Step 1 of 3 : Assuming the demand function is linear, find an equation for D(x)D(x). Do not round your answer.you are an accountant for a manufacterer of radios. the demand function for the tablets is p= 40-4x2 where x is the number of tablets produced in millions. it costs the company $15 to make a tablet. write an equation for the manufactures profit as a function of the number of tablets produced. the company currently produces 1 million tablets and makes a profit of $21000000, but you would like to scale up production a bit, what greater number of tablets could the company produce to yield the same profit
- (i) If the demand curve for a particular commodity is p = −0.09x + 51 and the total cost function C(x) = 1.32x2 + 11.7x + 101.4,where x is the level of production. Find: 1. All values of x for which production of the commodity is profitable.Joshua owns a small boat and catches lobster off the coast of Maine. His weekly cost function is TC(q) = 40 + 5q + 5q?. He sells his lobsters to the local wholesaler at the market price p (in dollars). a) Find Joshua's short-run supply function for lobsters. (Hit: In this case short-run marginal cost is the same as long-run marginal cost.) b) Find Joshua's long-run supply function for lobsters. c) Find Joshua's shutdown price and Joshua's breakeven price (the price at which profit equals zero). d) Suppose the market price is $30, calculate his profit. What will Joshua do in the long run? Explain. 1Fill in the blanks: Consider the following data: equilibrium price is 9.50, the quantity of output produced is1,000 units, the average total cost is 8, and the average variable cost is 6. Given this, the total revenue is Continue >
- Let x denote the level of output of a firm’s production process. The cost function is given by C (x) = x(x +1)+120 and the demand function of the product by x =1000 - 2p. (a) Compute profit E(x). (b) Find the output x at which profit is maximized. Please answer both subparts. I will really upvote. ThanksSuppose that the cost of producing q appliances is C(q) = 500 – 4q + q? and the demand function is given by p = 14 – 2 q. The quantity that minimizes the average cost function and the corresponding price are g= 22.36 and p= -30.72 a) Why the corresponding price is negative? explain The maximum profit would be -473 b) Why the maximum profit is minus? explain what happensThe cost of producing x teddy bears per day at the Cuddly Companion Co. is calculated by their marketing staff to be given by the formula C(x) = 100 + 37x - 0.07x2. (a) Find the marginal cost function C'(x). C'(x) = (b) How fast is the cost going up at a production level of 100 teddy bears? When they produce 100 teddy bears, the production costs are increasing at a rate of x dollars per teddy bear In other words, the cost to produce the 101st teddy bear is approximately dollars (c) Find the average cost function C, and evaluate C(100). C(x) = C(100) = So when they produce 100 teddy bears, the average cost per teddy bear is x dollars. (d) Fill in the blanks: Since the marginal cost is less than the average cost per unit, increasing production from 100 teddy bears will cause the average cost per unit to decrease.