need help with solving this question Table 3-6 Assume that Zimbabwe and Portugal

Question

need help with solving this question

Table 3-6 Assume that Zimbabwe and Portugal can switch between producing toothbrushes and producing hairbrushes at a constant rate Machine Minutes Needed to Make 1 Toothbrush Hairbrush Zimbabwe 10 Portugal Refer to Table 3-6. Which of the following combinations of toothbrushes and hairbrushes could Zimbabwe not produce in 120 minutes? 5 toothbrushes and 11 hairbrushes 10 toothbrushes and 9 hairbrushes 20 toothbrushes and 6 hairbrushes 30 toothbrushes and 3 hairbrushes

Explanation / Answer

Answer

The correct answer is (a) 5 Toothbrushes and 11 Hairbrushes.

Zimbabwe takes 3 minutes to produce 1 toothbrush and 10 minutes to produce 1 hairbrush. Hence in order to produce 5 Toothbrush Zimbabwe takes 5*3 = 15 minutes and inorder to produce 11 Hairbrush Zimbabwe takes 110 minutes. Hence Total time required for Zimbabwe to produce 3 Toothbrush and 10 Hairbrush is 15 + 110 = 125 minutes, which is greater than 120 minutes. Hence Zimbabwe cannot produce 5 Toothbrush and 10 Hairbrush in 120 minutes,

Hence The Correct answer is (a) 5 Toothbrushes and 11 Hairbrushes   

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