Problema Solution
I earn $25 for each purse I make and $10 for each belt, but it takes 3 hours to make a purse and only 1.5 to make a belt. I can't work more than 18 hours each month, and I want to make $130 a month. What's the fewest number of purses I can make each month?
Answer provided by our tutors
let 'p' represent the number of purses made and 'b' represent the number of belts made
revenue from purses: 25p
revenue from belts: 10b
hours taken on purses: 3p
hours taken on belts: 1.5b
we have restrictions on time and income:
18 >= 3p + 1.5b
130 <= 25p + 10b
solving this system gives:
2 <= p <= 8
0 <= b <= 8
the fewest number of purses that can be made each month is 2