Exam 7: Production Cost: Many Variable Inputs

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If a firm's production function is f(z1,z2)= z1 + z2, its minimum cost of producing y units of output is:

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The scale- elasticity of output measures:

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A normal input is:

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If a firm's production function is f(z1,z2)= z1 + z2, and if the price of z1 is $10 and the price of z2 is $8, then the minimum cost of producing 10 units of output is:

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Scale elasticity refers to changes in:

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A firm produces steel plates using a production process that can be described by the function: q = (KL)1/2. i)How much output will the firm produce if it uses 1000 units of capital and 250 units of labour? ii)If capital costs 25 per unit and labour costs 50 per unit, is the firm minimizing the long run costs when it uses 1000 units of capital and 250 units of labour? iii)The national government wants to encourage companies to adopt new technologies. To that end, they offer tax credits for the purchase of new capital equipment, which effectively reduces the price of new capital. The credit applies only to additions to the firm's current capital stock. Show on a graph and explain what happens to the isocost line and the amounts of capital and labour the firm uses if they continue to produce the same level of output as before. You may assume the firm was previously in long run equilibrium.

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Suppose Kate's bakery operates with the production function y = (1200z1z2)1/3. Kate's production function exhibits

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The cost function, TC(y), shows the:

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If input prices are constant and the quantity of an input decreases with increases in output, that input is said to be:

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Explain the relationship between the long run marginal cost curve in the long- run average cost curve under conditions of decreasing returns to scale increasing returns to scale and constant returns to scale.

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Define isoquant and isocost curves. If f(L,K)= 3L + 6K, and the price of capital is equal to 4, for what prices of labour would the firm hire only capital?

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When returns to scale are increasing, long run marginal cost is:

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The Marginal Rate of Technical Substitution diminishes when:

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For a firm that experiences decreasing returns to scale over the entire range of output:

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When there are many inputs, a firm should employ them so that only inputs:

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When the price of a resource increases, the cost minimizing quantity of that resource:

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A change in the relative price of an input in the cost minimization problem:

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In the long run a firm will attempt to

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Suppose that Company X has a production function 3x+y. If the factor prices are 9 for x and 4 for y, how much will it cost to produce 50 units of output?

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Long run total costs are always:

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