Assume that Andia and Zardia can switch between producing wheat and producing be

Question

Assume that Andia and Zardia can switch between producing wheat and producing beef at a constant rate. Minutes Needed to Make 1 Bushel of Wheat Pound of Beef Andia 20 12 Zardia 15 10 Which of the following combinations of wheat and beef could Andia produce in one 8-hour day? a. 6 bushels of wheat and 35 pounds of beef b. 9 bushels of wheat and 25 pounds of beef c. 15 bushels of wheat and 20 pounds of beef d. 24 bushels of wheat and 40 pounds of beef I know that the answer is B, but how is it calculated? Please show steps.

Explanation / Answer

Assume that Andia and Zardia can switch between producing wheat and producing beef at a constant rate. Minutes Needed to Make 1 Bushel of Wheat Pound of Beef Andia 20 12 Zardia 15 10

Which of the following combinations of wheat and beef could Andia produce in one 8-hour day?

a. 6 bushels of wheat and 35 pounds of beef

b. 9 bushels of wheat and 25 pounds of beef

c. 15 bushels of wheat and 20 pounds of beef

d. 24 bushels of wheat and 40 pounds of beef I know that the answer is

B, but how is it calculated? Please show steps.

Knowing it takes 15 minutes to produce 1 bushels of wheat and 10min for 1 pound of beef, (A) Is impossible

(25 bush of wheat * 15min per wheat) + (25lb of beef * 10minutes per lb of beef) = 375min+250min = 625min in order to produce 25 bushels of wheat and 25 pounds of beef but you only have 600 minutes.

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