Each unit of product X uses 2 units of R1 and 1 unit of R2; each unit of Y uses 1 unit of R1 and 3 units of R2. The firm has 50 units of R1 and 60 units of R2. How many of each should it make to use all of both materials?
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Hint
Write one equation for each raw material.
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Answer: B. 18 of X and 14 of Y
Let x and y be the units made. Then 2x + y = 50 and x + 3y = 60. From the first, y = 50 − 2x, so x + 3(50 − 2x) = 60, which gives x = 18 and y = 14. Check: 36 + 14 = 50 and 18 + 42 = 60.