Question

In: Economics

Imagine you have a farm with three plots of land. There is one in the valley,...

Imagine you have a farm with three plots of land. There is one in the valley, one on the hill and one in the swamp. Each plot can either grow corn or wheat. Assume that planting, harvesting, etc. is free. The quantity of each crop on each plot is given by the following table.

Plot                                Corn                               Wheat

Valley                            200                                 300

Hill                                  150                                 450

Swamp                          100                                 100

a. Draw a PPF for your farm. Indicate all slopes and intercepts.

b. If the price of corn is $5/unit and the price of wheat is $2/unit, what should you produce on each plot in order to maximize revenue? (We haven't said the word "revenue" yet but it means the total market value of the crops.)

c. If the price of corn is $2.50 and the price of wheat is $2, what do you want to produce on each plot?

Solutions

Expert Solution

a. production possibility frontier is the different combinations in which the two crops can be produced. For instance, Corn in Plot and Valley and Wheat in Swamp, and so on. Let's tabulate them and then plot the PPF.

Corn in Wheat in Qty of Corn Qty of Wheat
All 3 None 450 0
Valley, Hill Swamp 350 100
Valley Hill, Swamp 200 550
Hill Valley, Swamp 150 400
Swamp Valley, Hill 100 750
None All 3 0 850

b. Pls see table below

Qty * Price Qty * Price
Plot Quantity of Corn Quantity of Wheat Price of Corn Price of Wheat Revenue from Corn Revenue from Wheat Higher of the two We will produce
Valley 200 300 5 2 1000 600 1000 Corn
Hill 150 450 5 2 750 900 900 Wheat
Swamp 100 100 5 2 500 200 500 Corn

c. Pls see table below

Qty * Price Qty * Price
Plot Quantity of Corn Quantity of Wheat Price of Corn Price of Wheat Revenue from Corn Revenue from Wheat Higher of the two We will produce
Valley 200 300 2.5 2 500 600 600 Wheat
Hill 150 450 2.5 2 375 900 900 Wheat
Swamp 100 100 2.5 2 250 200 250 Corn

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