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Suppose the labor cost (in dollars) for manufacturing a camera can be approximated by L(x,y) =...
Suppose that the manufacturing cost of a personal digital assistant (PDA) is approximated by Mix,y) = 42x? +35y? - 25xy + 50 where x is the cost of electronic chips and y is the cost of labor. Find the following. (a) M (5,3) (b) M,(3,6) OM OM (c) (5,6) (d) dx (5.7) ayl Mxx.y) (42X +3y - 2xy +50) 84X - 2by dx Now substitute 3 for x and 6 for y in M, (x,y). M.(3,6) - 102 OM (c)...
The average cost per hour in dollars of producing x riding lawn mowers is given by the following 2800 c(x) = 0 .7xf + 26-292 +- (a) Use a graphing utility to determine the number of riding lawn mowers to produce in order to minimize average cost. (b) What is the minimum average cost? lawn mowers are produced per hour (a) The average cost is minimized when approximately (Round to the nearest whole number as needed) (b) The minimum average...
A woman has a taco stand. She found that her daily costs are approximated by CIX)=x? - 40x+630, where Cix) is the cost, in dollars, to sell x units of tacos. Find the number of units of tacos should se to minimize her couts What is the minimum cost? The amber of units of tacon she thould sell to minimize her costs is The minimum cont is $ Enter your answer in each of the answer boxes Type here to...
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...
(1 point) A company manufactures x units of one item and y units of another. The total cost in dollars, C, of producing these two items is approximated by the function C = 3x² + 2xy + 2y2 + 500. (a) If the production quota for the total number of items (both types combined) is 30, find the minimum production cost. cost = (b) Estimate the additional production cost or savings if the production quota is raised to 31 or...
Chapter 15, Section 15.3, Question 037 A company manufactures x units of one item and y units of another. The total cost in dollars, C, of producing these two items is approximated by the function C = 5x² + 2xy + 3y2 + 800. (a) If the production quota for the total number of items (both types combined) is 33, find the minimum production cost. The minimum production cost is C = $ Number (b) Estimate the additional production cost...
The annual cost (in thousands of dollars) of manufacturing x thousand sets of wrieless earbuds is given by C(x) = 0.001x3 + 3x + 128. Complete the following: (a) Find the average cost function and give its domain. (b) How many thousands of sets of earbuds should be made to minimize the average cost?
The joint cost function for two products is C(x, y) = XV y2 + 5 dollars. (a) Find the marginal cost with respect to x. - (b) Find the marginal cost with respect to y.
#3 please!! 2. Given the function f(x, y)-x2 +y -2xy -6x - 2y 5, find the following: (a) Find the critical point(s) of the function. For full credit, show all the algebra to find these and give your answer as ordered pairs. (b) Find the second order partial derivatives and use these to find the determinant of each critical point. Then classify each critical point as a saddle point, relative minimum, or relative maximum point. 3. A wine dealer sells...
The total cost (in dollars) of manufacturing x auto body frames is C(x) = 20,000 + 500x. (A) Find the average cost per unit if 50 frames are produced. (B) Find the marginal average cost at a production level of 50 units. (C) Use the results from parts (A) and (B) to estimate the average cost per frame if 51 frames are produced. (A) If 50 frames are produced, the average cost is $_______ per frame. (B) The marginal average cost at a production level...