Assume that the farmer and the rancher can switch between producing meat and pro

Question

Assume that the farmer and the rancher can switch between producing meat and producing potatoes at a constant rate. Labor hrs.needed to make 1 pound of: farmer: meat 8, potatoes 2 rancher : meat 3, potatoes 6 Pounds produced in 24 hrs: farmer: meat 3, potatoes 12 rancher: meat 8, potatoes 4 Which of the following combinations of meat and potatoes could the farmer produce in 24 hrs? a. 1 pound of meat, 3 pounds potatoes b. 2 pounds meat, 5 pounds potatoes c. 3 pounds meat, 12 pounds potatoes d. 4 pounds meat, 8 pounds potatoes Which of the following combinations of meat and potatoes could the rancher NOT produce in 24 hrs? a. 2 pounds meat, 3 pounds potatoes b. 4 pounds meat, 2 pounds potatoes c. 6 pounds meat, 1 pound potatoes d. 8 pounds meat, 0.5 pounds potatoes Please show steps to the solutions

Explanation / Answer

for farmer 1 pound of meat 8hrs 1 poun ofpotatoes 2hrs hence farmer can produce option a (1*8+2*3) =14hrs other option give hours more than 24 ..... for rancher 1 pound of meat 3hrs 1 poun ofpotatoes 6hrs hence he can not produce combination combination d. 8 pounds meat, 0.5 pounds potatoes as 8*3+0.5 *6 =27 exceeds 24 hour

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