In a firm which manufactures wooden tables, it is estimated that its total revenue function is as follows: TR = 165Q – 5Q². Also, variable costs are estimated to be £5.00 per unit (Q) and the fixed costs will be £300 per week. a. Using breakeven analysis, derive the cost and profit functions. b. Calculate the maximum profit that can be obtained, stating the number of sales units and the selling price necessary to achieve this profit. c. Graph the profit function. Clearly indicate the roots and a maximum/minimum point where appropriate.
In a firm which manufactures wooden tables, it is estimated that its total revenue function is as follows: TR = 165Q – 5Q². Also, variable costs are estimated to be £5.00 per unit (Q) and the fixed costs will be £300 per week. a. Using breakeven analysis, derive the cost and profit functions. b. Calculate the maximum profit that can be obtained, stating the number of sales units and the selling price necessary to achieve this profit. c. Graph the profit function. Clearly indicate the roots and a maximum/minimum point where appropriate.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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