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Question 4
Emily owns and operates a nail ink salon. The diagram shows the cost and revenue curves for treatments at her nail ink salon. Initially, Emily sets her price to maxi... show full transcript
Step 1
Answer
To determine the change in total supernormal profit, we first need to identify the profit maximisation and revenue maximisation positions using the provided curves.
Profit Maximisation Position:
The profit maximisation occurs where Marginal Cost (MC) equals Marginal Revenue (MR). From the diagram, this occurs at an output level of 25 treatments where Price (AR) is £17.
Total Revenue (TR) at profit maximisation:
TR = Price × Quantity = £17 × 25 = £425
Total Costs (TC) at profit maximisation:
From the diagram, Average Cost (AC) at output of 25 treatments is £8.
TC = AC × Quantity = £8 × 25 = £200
Total Profit (TP) at profit maximisation:
TP = TR - TC = £425 - £200 = £225
Revenue Maximisation Position:
The revenue maximisation occurs where MR = 0, which is identified at 36 treatments where the price is £12.
Total Revenue (TR) at revenue maximisation:
TR = Price × Quantity = £12 × 36 = £432
Total Costs (TC) at revenue maximisation:
AC at output of 36 treatments is £9.
TC = AC × Quantity = £9 × 36 = £324
Total Profit (TP) at revenue maximisation:
TP = TR - TC = £432 - £324 = £108
Change in Total Supernormal Profit:
The change in profit when switching from profit maximisation to revenue maximisation:
Change in Profit = TP (Revenue Max) - TP (Profit Max) = £108 - £225 = -£117
Thus, if Emily changes her objective from profit maximisation to revenue maximisation, total supernormal profit will decrease by £117.
Step 2
Answer
The only correct answer is B.
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