(a) A retail company has a marginal profit curve given by: MP = -2 2+160Q + 2145. Determine the level of production, or range of production at which the company will have: (i) Increasing returns (ii) Decreasing returns (iii) Negative returns (iv) Its maximum profit (b) A production process varies only with raw materials, as all other inputs are fixed. The cost of a shipment of 8kg of raw materials is fixed at $85. It takes 5kg of raw materials to create one item of output, Q. The marginal revenue for this production process is expressed by: MR = -Q 2+52Q - 576. Determine the optimal amount of raw materials to be used in this production process. (c) A production process varies with both labour, Land raw materials, M. The production function is given: Q = 1.25L 0.38 +0.9M0.68 Current production level is Q = 800 items and marginal profit is given as a fixed $16.50. Determine what profit can be expected if: (i) Labour is increased by 25%. (ii) Both labour and raw materials are increased by 20%.

(a) A retail company has a marginal profit curve given by: MP = -2 2+160Q + 2145. Determine the level of production, or range of production at which the company will have: (i) Increasing returns (ii) Decreasing returns (iii) Negative returns (iv) Its maximum profit (b) A production process varies only with raw materials, as all other inputs are fixed. The cost of a shipment of 8kg of raw materials is fixed at $85. It takes 5kg of raw materials to create one item of output, Q. The marginal revenue for this production process is expressed by: MR = -Q 2+52Q - 576. Determine the optimal amount of raw materials to be used in this production process. (c) A production process varies with both labour, Land raw materials, M. The production function is given: Q = 1.25L 0.38 +0.9M0.68 Current production level is Q = 800 items and marginal profit is given as a fixed $16.50. Determine what profit can be expected if: (i) Labour is increased by 25%. (ii) Both labour and raw materials are increased by 20%.

Economics:

10th Edition

ISBN:9781285859460

Author:BOYES, William

Publisher:BOYES, William

Chapter22: Supply: The Costs Of Doing Business

Section: Chapter Questions

Problem 14E

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