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Find the minimum cost to produce one thousand items

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Question: With quantities x and y of two raw materials available, Q = x½y½ thousand items can be produced at a cost of C = 2x + y thousand dollars. Using the following steps, find the minimum cost to produce 1 thousand items.

(a) Graph x½y½ = 1. On the same axes, graph 2x + y = 2, 2x + y = 3, and 2x + y = 4.

(b) Explain why the minimum cost occurs at a point at which a cost line is tangent to the production curve Q = 1.

(c) Using your answer to part (b) and implicit differentiation to find the slope of the curve, find the minimum cost to meet this production level.

Reference no: EM131604461

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