120 › Step 4. Review the Knowledge You Need to Score High
Short-Run Profit and Loss
To maximize profit, the firm must choose the level of output (qe) where MR =MC. But
how can we use Figure 9.2 to identify these profits? A little algebra goes a long way.
P=TR -TC =P¥qe-TC. If you divide both terms by quantity and remember that
TC/q=Average total cost (ATC), you have
P=qe¥(P -ATC)
The term (P-ATC) is the per unit difference between what the firm receives from the
sale of each unit and the average cost of producing it, or profit per unit. When you multiply
this per unit profit by the number of units (qe) produced, you have total profit. Table 9.3 and
Figure 9.3 incorporate the ATC into our carrot farmer’s profit-maximizing decision table.
Table 9.3
DAILY BUSHELS TOTAL AVERAGE
OF CARROTS COST TOTAL COST PROFIT (P)
(q) PRICE (P) (TC) (ATC) (P - AT C ) =q¥(P - AT C )
0 $11 $16 -$16
l $11 $22 $22 -$11 -$11
2 $11 $27.50 $13.75 -$2.75 -$5.50
3 $11 $34 $11.33 -$.33 -$1
4 $11 $42 $10.50 $.50 $2
5 $11 $53 $10.60 $.40 $2
6 $11 $65 $10.83 $.17 $1
Profit Rectangles and Flying Monkeys
Everyone remembers The Wizard of Ozand the critical instructions that the people of
Munchkinland gave Dorothy and Toto as they set off to find the Wizard: “Follow the
yellow brick road.” And when Dorothy, Toto, and friends stayed on the yellow brick road,
Quantity
d = P = MR = AR
AT C
MC
qe = 5
10.60
11
Profit = 5×($11 – $10.60)
$ One Carrot Farmer
Figure 9.3
“This is a great
analogy to
remember.”
—AP Teacher
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