Question

table 3-4
assume that zimbabwe and portugal can switch between producing toothbrushes and producing hairbrushes at a constant rate.

	machine minutes needed to make 1 toothbrush	machine minutes needed to make 1 hairbrush
portugal	5	6

refer to table 3-4. which of the following combinations of toothbrushes and hairbrushes could zimbabwe not produce in 120 minutes?

a. 20 toothbrushes and 6 hairbrushes
b. 10 toothbrushes and 9 hairbrushes
c. 5 toothbrushes and 11 hairbrushes
d. 30 toothbrushes and 3 hairbrushes

Explanation:

Step1: Calculate time for option a

Time = $(20 \times 3) + (6 \times 10) = 60 + 60 = 120$ minutes

Step2: Calculate time for option b

Time = $(10 \times 3) + (9 \times 10) = 30 + 90 = 120$ minutes

Step3: Calculate time for option c

Time = $(5 \times 3) + (11 \times 10) = 15 + 110 = 125$ minutes

Step4: Calculate time for option d

Time = $(30 \times 3) + (3 \times 10) = 90 + 30 = 120$ minutes

Answer:

c. 5 toothbrushes and 11 hairbrushes