a) What is the size of the loan that maximizes the farmer’s profit? Show your work. What is the farmer’s profit if he is able to secure the profit maximizing loan? b)In a diagram measuring the dollar amount of the loan along the horizontal axis, illustrate the firm’s revenue curve, cost curve and the profit maximizing dollar amount of the loan. One year a trader offers the farmer an interesting deal. The trader would lend the farmer money at the lower interest rate of 20% if the farmer agrees to sell its crop to the trader at a price of 90c ($0.90) per unit. d) Write the expression of the farmer’s profit function if he accepts the deal. Find how much money the farmer would borrow from the trader if they accepted the deal. Should the farmer accept the deal? Discuss.

Exploring Economics
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ISBN:9781544336329
Author:Robert L. Sexton
Publisher:Robert L. Sexton
Chapter11: The Firm: Production And Costs
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a) What is the size of the loan that maximizes the farmer’s profit? Show your work. What is the farmer’s profit if he is able to secure the profit maximizing loan?

b)In a diagram measuring the dollar amount of the loan along the horizontal axis, illustrate the firm’s revenue curve, cost curve and the profit maximizing dollar amount of the loan.

One year a trader offers the farmer an interesting deal. The trader would lend the farmer money at the lower interest rate of 20% if the farmer agrees to sell its crop to the trader at a price of 90c ($0.90) per unit.

d) Write the expression of the farmer’s profit function if he accepts the deal. Find how much money the farmer would borrow from the trader if they accepted the deal. Should the farmer accept the deal? Discuss.

year, a farmer must borrow funds to buy seed to grow a crop. The farmer's production function is q = 30VL where L is
the size of the loan measured in dollars (and hence the money spent on seed). The farmer can sell their
Each
crop
in a perfectly
competitive market at a unit price of p = $1.
The farmer can borrow funds only from a local loan shark that charges an interest rate of 50% so that the farmer's profit
depends on the size of the loan according to the profit function Profit(L) = 30VL - (1+0.5)L.
Transcribed Image Text:year, a farmer must borrow funds to buy seed to grow a crop. The farmer's production function is q = 30VL where L is the size of the loan measured in dollars (and hence the money spent on seed). The farmer can sell their Each crop in a perfectly competitive market at a unit price of p = $1. The farmer can borrow funds only from a local loan shark that charges an interest rate of 50% so that the farmer's profit depends on the size of the loan according to the profit function Profit(L) = 30VL - (1+0.5)L.
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