This economics question tests your understanding of economic models and analysis. The step-by-step answer below applies the relevant framework and explains the reasoning.
ScanSolve AI Answer
Welcome back gurlll_zelight! — been a while! Let's pick up where you left off. First, we determine the Total Fixed Cost (TFC) from the graph. The TFC line is horizontal, indicating it does not change with output. From the graph, the TFC is 20. We will use the following formulas: Total Variable Cost (TVC) = Total Cost (TC) - Total Fixed Cost (TFC) Average Total Cost (ATC) = TCOutput (Q) Marginal Cost (MC) = TC Q Profit () = Total Revenue (TR) - Total Cost (TC) Total Revenue (TR) = Price (P) × Output (Q) We extract the Total Cost (TC) values from the graph for different output levels: TC at Q=0: 20 TC at Q=1: 30 TC at Q=2: 35 TC at Q=3: 40 TC at Q=4: 50 TC at Q=5: 65 TC at Q=6: 85 TC at Q=7: 110 a) Determine the Firm's Cost Step 1: Calculate Variable Cost (TVC) at output levels 2, 4, and 6. TVC = TC - TFC At Q = 2: TVC(2) = TC(2) - TFC = 35 - 20 = 15 At Q = 4: TVC(4) = TC(4) - TFC = 50 - 20 = 30 At Q = 6: TVC(6) = TC(6) - TFC = 85 - 20 = 65 i) Variable Cost at output levels 2, 4, 6: Q=2: \15 Q=4: \30 Q=6: \65 Step 2: Calculate Average Cost (ATC) at output levels 5 and 7. ATC = TCQ At Q = 5: ATC(5) = TC(5)5 = (65)/(5) = 13 At Q = 7: ATC(7) = TC(7)7 = (110)/(7) ≈ 15.71 ii) Average Cost at output levels 5 and 7: Q=5: \13 Q=7: \15.71 Step 3: Calculate Marginal Cost (MC) at output levels 4 and 6. MC = TC(Q) - TC(Q-1) At Q = 4: MC(4) = TC(4) - TC(3) = 50 - 40 = 10 At Q = 6: MC(6) = TC(6) - TC(5) = 85 - 65 = 20 iii) Marginal Cost at output levels 4 and 6: Q=4: \10 Q=6: \20 b) If the firm's revenue per unit is 40, calculate the firm's profit at the following units of production: Step 4: Calculate profit at 3 units of production. Given Price (P) = 40. TR(3) = P × Q = 40 × 3 = 120 From the graph, TC(3) = 40. Profit(3) = TR(3) - TC(3) = 120 - 40 = 80 i) Profit at 3 units: \80 Step 5: Calculate profit at 5 units of production. TR(5) = P × Q = 40 × 5 = 200 From the graph, TC(5) = 65. Profit(5) = TR(5) - TC(5) = 200 - 65 = 135 ii) Profit at 5 units: \135 Step 6: Calculate profit at 7 units of production. TR(7) = P × Q = 40 × 7 = 280 From the graph, TC(7) = 110. Profit(7) = TR(7) - TC(7) = 280 - 110 = 170 iii) Profit at 7 units: \170 Drop the next question!