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Find the change in cost C for the given marginal. Assume that the number of units...
For a certain product, cost C and revenue R are given as follows, where x is...
For a certain product, cost C and revenue R are given as follows, where x is the number of units sold in hundreds. Cost: C2 = x2 + 102 VX +55 Revenue: 892(x - 5)2 + 25R2 = 16,900 dC a. Find the marginal cost dy at x = 5. The marginal cost is estimated to be $ (Do not round until the final answer. Then round to the nearest hundredth as needed.)
The marginal revenue for a new calculator is given by 20,000 MR = 60,000 - (10...
The marginal revenue for a new calculator is given by 20,000 MR = 60,000 - (10 + x)2 where x represents hundreds of calculators and revenue is in dollars. Find the total revenue function, R(x), for these calculators R(X) - 1940000x 2000023 3 + 200000.x? Your answer cannot be understood or graded. More Information Need Help? Read it Talk to a Tutor Viewing Saved Work Revert to Last Response 9. [-12 points) DETAILS HARMATHAP12 12.1.049. MY NOTES PRACTIE The DeWitt...
Consider the following function. f(t)4t5 Find its average rate of change over the interval [1, 4] At Compare t...
Consider the following function. f(t)4t5 Find its average rate of change over the interval [1, 4] At Compare this rate with the instantaneous rates of change at the endpoints of the interval f(4) Need Help? Read It Watch It Talk to a Tutor Consider the following function f(x)x18x 2 Find its average rate of change over the interval [-9, 1]. Ay Ax Compare this rate with the instantaneous rates of change at the endpoints of the interval f-9) f(1) Need...
Next Question Find the cost function if the marginal cost function is given by C'(x)=x2 +5...
Next Question Find the cost function if the marginal cost function is given by C'(x)=x2 +5 and 9 units cost $123. C(x) =
Find the minimum cost of producing 50,000 units of a product, where x is the number...
Find the minimum cost of producing 50,000 units of a product, where x is the number of units of labor (at $84 per unit) and y is the number of units of capital (at $48 per unit). (Round your answer to two decimal places.) P(x, y) = 100x0.6 0.4
A factory is dumping pollutants into a river at a rate given by dx/dt = t3/4/500...
A factory is dumping pollutants into a river at a rate given by dx/dt = t3/4/500 tons per week, where t is the time in weeks since the dumping began and x is the number of tons of pollutants. (a) Find the equation for total tons of pollutants dumped. x(t) = (b) How many tons were dumped during the first year? (Round your answer to two decimal places.) tons Need Help? Read It Talk to a Tutor Submit Answer Practice...
Assume that x has a normal distribution with the specified mean and standard deviation. Find the...
Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 8; σ = 2 P(7 ≤ x ≤ 11) = Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 6.0; σ = 1.4 P(7 ≤ x ≤ 9) = Assume that x has a normal...
Assume that x has a normal distribution with the specified mean and standard deviation. Find the...
Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) H = 48; 0 = 16 P(40 sxs 47) = Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) u = 14.6; 0 = 3.3 P(8 SX s 12) = Assume that x has a normal distribution with the...
The joint cost (in dollars) for two products is given by C(x, y) = 47 +...
The joint cost (in dollars) for two products is given by C(x, y) = 47 + x2 + 3y + 2xy where x represents the quantity of product x produced and y represents the quantity of product Y produced, (a) Find the marginal cost with respect to x if 6 units of product X and 10 units of product Y are produced. Interpret your answer. If x remains at 6, the expected change in cost for an 11th unit of...
Suppose the marginal cost is C'(x) = 0.24x² - 16.8x + 303 to produce x items....
Suppose the marginal cost is C'(x) = 0.24x² - 16.8x + 303 to produce x items. Complete parts a through c. (a) Use a graph or a table on a calculator to find the coordinates of the vertex of C'(x). The vertex is (35,9). (Type an ordered pair.) (b) What do the coordinates represent in terms of production costs? The cost to increase production from to units is approximately dollars. 36 (c) Find C'(x) dx and interpret what the quantity...
For a certain product, cost C and revenue R are given as follows, where x is the number of units sold in hundreds. Cost: C2 = x2 + 102 VX +55 Revenue: 892(x - 5)2 + 25R2 = 16,900 dC a. Find the marginal cost dy at x = 5. The marginal cost is estimated to be $ (Do not round until the final answer. Then round to the nearest hundredth as needed.)
The marginal revenue for a new calculator is given by 20,000 MR = 60,000 - (10 + x)2 where x represents hundreds of calculators and revenue is in dollars. Find the total revenue function, R(x), for these calculators R(X) - 1940000x 2000023 3 + 200000.x? Your answer cannot be understood or graded. More Information Need Help? Read it Talk to a Tutor Viewing Saved Work Revert to Last Response 9. [-12 points) DETAILS HARMATHAP12 12.1.049. MY NOTES PRACTIE The DeWitt...
Consider the following function. f(t)4t5 Find its average rate of change over the interval [1, 4] At Compare this rate with the instantaneous rates of change at the endpoints of the interval f(4) Need Help? Read It Watch It Talk to a Tutor Consider the following function f(x)x18x 2 Find its average rate of change over the interval [-9, 1]. Ay Ax Compare this rate with the instantaneous rates of change at the endpoints of the interval f-9) f(1) Need...
Next Question Find the cost function if the marginal cost function is given by C'(x)=x2 +5 and 9 units cost $123. C(x) =
Find the minimum cost of producing 50,000 units of a product, where x is the number of units of labor (at $84 per unit) and y is the number of units of capital (at $48 per unit). (Round your answer to two decimal places.) P(x, y) = 100x0.6 0.4
A factory is dumping pollutants into a river at a rate given by dx/dt = t3/4/500 tons per week, where t is the time in weeks since the dumping began and x is the number of tons of pollutants. (a) Find the equation for total tons of pollutants dumped. x(t) = (b) How many tons were dumped during the first year? (Round your answer to two decimal places.) tons Need Help? Read It Talk to a Tutor Submit Answer Practice...
Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) H = 48; 0 = 16 P(40 sxs 47) = Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) u = 14.6; 0 = 3.3 P(8 SX s 12) = Assume that x has a normal distribution with the...
The joint cost (in dollars) for two products is given by C(x, y) = 47 + x2 + 3y + 2xy where x represents the quantity of product x produced and y represents the quantity of product Y produced, (a) Find the marginal cost with respect to x if 6 units of product X and 10 units of product Y are produced. Interpret your answer. If x remains at 6, the expected change in cost for an 11th unit of...
Suppose the marginal cost is C'(x) = 0.24x² - 16.8x + 303 to produce x items. Complete parts a through c. (a) Use a graph or a table on a calculator to find the coordinates of the vertex of C'(x). The vertex is (35,9). (Type an ordered pair.) (b) What do the coordinates represent in terms of production costs? The cost to increase production from to units is approximately dollars. 36 (c) Find C'(x) dx and interpret what the quantity...
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