A firm manufactures a commodity at two different factories, Factory X and Factory Y. The total cost (in dollars) of manufacturing depends on the quantities, and y produced at each factory, respectively, and is expressed by the joint cost function: C(x, y) = x² + xy +4y²+400 A) If the company's objective is to produce 1,900 units per month while minimizing the total monthly cost of production, how many units should be produced at each factory? (Round your answer to whole units, i.e. no decimal places.) To minimize costs, the company should produce: units at Factory X and units at Factory Y B) For this combination of units, their minimal costs will be enter any commas in your answer.) Question Help: Video dollars. (Do not

A firm manufactures a commodity at two different factories, Factory X and Factory Y. The total cost (in dollars) of manufacturing depends on the quantities, and y produced at each factory, respectively, and is expressed by the joint cost function: C(x, y) = x² + xy +4y²+400 A) If the company's objective is to produce 1,900 units per month while minimizing the total monthly cost of production, how many units should be produced at each factory? (Round your answer to whole units, i.e. no decimal places.) To minimize costs, the company should produce: units at Factory X and units at Factory Y B) For this combination of units, their minimal costs will be enter any commas in your answer.) Question Help: Video dollars. (Do not

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.4: Average Rate Of Change Of A Function

Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.

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Similar questions

bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
If during the following year it is predicted that each comedy skit will generate 30 thousand and each musical number 20 thousand, find the maximum income for the year. A television program director must schedule comedy skits and musical numbers for prime-time variety shows. Each comedy skit requires 2 hours of rehearsal time, costs 3000, and brings in 20,000 from the shows sponsors. Each musical number requires 1 hour of rehearsal time, costs 6000, and generates 12,000. If 250 hours are available for rehearsal and 600,000 is budgeted for comedy and music, how many segments of each type should be produced to maximize income? Find the maximum income.
Assume that the production of 1 unit of magnesium requires 0.8 units of magnesium and 0.2 units of aluminum, and that the production of 1 unit of aluminum requires 0.3 units of magnesium and 0.2 units of aluminum.
The hourly cost function (in dollars) of 3 generators, each as follows: where x₁ is the output power of the first generator, x₂ is the output power of the second generator, and x3, is the output power of the third generator. It is known that the three generators serve a load (total output power) of 744 megawatts. Determine the distribution of power that must be generated by each generator so that it can meet the needs load with minimum total operating costs.
Suppose the production function for an airframe is Q = LK (Quantity = labor x capital) The price of labor is $10 per unit and the price of capital is $1 per unit. Find the cost-minimizing combination of labor and capital if the manufacturer wants to produce 121,000 airframes.