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 meat: 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 Assume that the farmer and the rancher each has 24 labor hours available. If each person divides his time equally between the production of meat and potatoes, then total production is a. 3 pounds of meat and 12 pounds of potatoes b. 5.5 pounds of meat and 8 pounds of potatoes c. 8 pounds of meat and 4 pounds of potatoes d. 11 pounds of meat and 16 pounds of potatoes Which of the following combinations of meat and potatoes could the farmer produce in 24 Hours? a. 1 pound of meat and 8 pounds of potatoes b. 2 pounds of meat and 5 pounds of potatoes c. 3 pounds of meat and 12 pounds of potatoes d. 4 pounds of meat and 8 pounds of potatoes Which of the following combinations of meat and potatoes could the rancher NOT produce in 24 hours? a. 2 pounds of meat and 3 pounds of potatoes b. 4 pounds of meat and 2 pounds of potatoes c. 6 pounds of meat and 1 pound of potatoes d. 8 pounds of meat and 0.5 pound of potatoes Please show step by step instructions to each.

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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