Use the following general linear supply function: $Q _ { 5 } = 40 + 6 P - 8 P _ { I } + 10 F$ where $Q _ { 5 }$ is the quantity supplied of the good,P is the price of the good, $P _ { I }$ is the price of an input,and F is the number of firms producing the good.When $P _ { I }$ = $40 and F = 50,the INVERSE supply function is

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To find the inverse supply function, solve the given supply function for P. Substituting $P_I = 40$ and $F = 50$ into the supply function gives $Q_5 = 40 + 6P - 8(40) + 10(50)$. Simplifying, we get $Q_5 = 40 + 6P - 320 + 500$, which simplifies further to $Q_5 = 220 + 6P$. Solving for P gives $P = \frac{Q_5 - 220}{6}$, which simplifies to $P = -36.667 + 0.1667Q_5$, matching choice A.

Use the Following General Linear Supply Function Q5=40+6P−8PI+10FQ _ { 5 } = 40 + 6 P - 8 P _ { I } + 10 FQ5​=40+6P−8PI​+10F

Use the Following General Linear Supply Function $Q _ { 5 } = 40 + 6 P - 8 P _ { I } + 10 F$