12. Given the following price-demand and cost functions for a product: p(x)= 10-x 1000 C(x)=5000+2x OSx<10000 a) Determine the revenue and profit functions. b) Using calculus determine how many products should be sold to maximize profit?

Q: 1. Teddy J is a manufacturer of dish washing liquid . If his monthly demand function for 750ml size…

A: Since not a particular question asked as per guidelines solution to only first question i.e Q1 is…

Q: A company has found that the marginal cost​ (in thousands of​ dollars) to produce x central air…

A: Definition used-                    A cost function is integral to the marginal cost function.…

Q: Assume that it costs a manufacturer approximately C(x) = 1,200,500 + 340x + 0.0005x² dollars to…

A: (a) The cost function is Cx=1200500+340x+0.0005x2. The average cost function is Cx=Cxx. That is,…

Q: If the total cost function for a product is  C(x) = 810 + 0.1x2 dollars,  producing how many units,…

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Q: A manufacturer has an order for 1000 units of fine paper that can be produced at two locations. Let…

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Q: (a) Suppose a Firm produce output using the production function Q-5KL. Wage rate for hiring labor…

A: As per Bartleby's answering policy, we can answer only one question, so kindly post the other…

Q: 2. a.) What comhination of goods rand y should a firm produce to minimize costs when the joint cost…

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Q: 1. Suppose the total monthly cost of manufacturing q units is given by C(q) = 0.1q? – 10q + 1000…

A: The average cost function is given below

Q: A worker is to construct an open rectangular box with a square base and a volume of 27 ft°. If…

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Q: 4. The price-demand equation and the cost function for the production of table saws are given,…

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Q: A manufacturer has an order for 1000 units of fine paper that can be produced at two locations. Let…

A: To find the number of units that should be produced at each location to minimize the cost.

Q: A worker is to construct an open rectangular box with a square base and a volume of 98 ft°. If…

A:

Q: Assume that it costs a manufacturer approximately   C(x) = 1,104,500 + 340x + 0.0005x2   dollars to…

A: Cost for x gaming systems is Cx=1104500+340x+0.0005x2. So Cost for manufacturing one gaming system…

Q: What is the critical point of the total cost function TC = Q3-6Q2 – 640Q? 640Q ? %3D 1/3

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Q: 3. Suppose a production function is given by F(K, L) KL2; the price of capital is $10 and the price…

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Q: the supply and demand functions of a given product QS is x2 + 14x + 22  and QD = -x2 - 10x = 150,…

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Q: Find the break-even point for the firm whose cost function C and revenue function R are given. C(x)…

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Q: Show that if r(x) = 6x and c(x) = x3 - 6x2 + 15x are your rev-enue and cost functions, then the best…

A: Break even point occurs when profit is zero.We have given r(x) = 6x and c(x) = x3 - 6x2 + 15x are…

Q: A manufacturer has an order for 1000 units of fine paper that can be produced at two locations. Let…

A:

Q: Faced with two distinct demand functions Q, 16-0.5P, and Q, = 20-0.1P where TC= 100 + 20Q with Q =…

A: Given that: First we have to solve the demand equations for price We get,

Q: A power line is to be constructed from a power station at point A to an island at point C, which is…

A: CB= 3 mi (underwater) AB= 4 mi (underground)  Cost to lay the power line under water = $3300 per…

Q: 3. The cost (in pesos) of producing x toys is given by 1.5x? + 200x + 4000, whi price (in pesos) of…

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Q: The weekly demand for the Pulsar 40-in. high-definition television is given by the demand equation p…

A:

Q: A firm has two plants that produce identical output. The costs functions are C1=10q-4q^2+q^3 MC1 =…

A: Given A firm has two plants that produce identical outputs The cost functions are…

Q: Suppose that a manufacturer produces two brands of a product, brand 1 and brand 2. Suppose the…

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Q: If the total cost function for a product is C(x) = 3(x + 2)° dollars, where x represents the number…

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Q: If the total cost function for a product is C(x) = (x + 8)3 dollars, where x represents the number…

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Q: Its tot as TR = 300q - 6q² and its total costs as TC = 4q². a) Determine the optimal quantity and…

A: Given : That an engineering firm recently estimated its total revenue function as TR=300-6q2 and its…

Q: Suppose that one factory inputs its goods from two different plants, A and B, with different costs,…

A:

Q: A production facility is capable of producing 60000 products in a day and the total daily cost of…

A: The solution is given below

Q: If the total cost function for a product is C(x) = 5(x + 2)3 dollars, where x represents the number…

A:

Q: Roger is a manufacturer of bleach,  if his montly demand fuction for 750ml size is q=4000 * 250p and…

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Q: A manufacturing company makes door hinges. The cost function for making a hinges per hour is C(x) =…

A: The cost function for making x hinges per hour is C(x)=0.0007x3-0.1796x2+14.663x+160 The critical…

Q: 3(a) The cost of manufacturing motor cycles (per day) is related to number to number of motor cycles…

A: Here we have to use the concept of derivatives.

Q: An offshore oil well located at a point W that is 5 km from the closest point A on a straight…

A: Make a diagram using the given statements Now we find the cost function   cost of laying…

Q: If the total cost function for a product is C(x) = 120(0.02x + 5)3 dollars, where x represents the…

A:

Q: 18. If the total cost function for a product is C(x) = 300 + 10x + 0.03x² dollars, producing how…

A: Question number 18,Given,            The total cost function for a product is Cx=300+10x+0.03x2…

Q: A firm manufactures a commodity at two different factories, Factory X and Factory Y. The total cost…

A: A)

Q: Find the break-even point for the firm whose cost function C and revenue function R are given. C(x)…

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Q: If the total cost function for a product is  C(x) = 3(x + 2)3 dollars,  where x represents the…

A: Given,          The total cost function for a product is Cx=3x+23 dollars, where x represents…

Q: If the total cost function for a product is C(x) = 5(x + 4)3 dollars, where x represents the number…

A: we have the cost function  C(x)=5(x+4)3

Q: 4) Find the production level that minimizes the average cost per unit for the cost function C = 400…

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Q: Suppose a company has fixed costs of $32,000 and variable cost per unit of 1/3x + 444 dollars,where…

A: It is given that,

Q: ) If C(x) is the cost of producing r units of a commodity, then the average cost per unit is C(x)…

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Q: A firm uses labour. L and capital K, to produce a single product, X. capital is fixed but labour is…

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Q: Two machines, A and B produce items at the rate of 50 units per hour and 40 units per hour j.…

A:

Q: If the total cost function for a product is  C(x) = 4(x + 7)3 dollars,  where x represents the…

A: