Question

Bob decides he wants to make guitars and sell them online. He makes and sells Gibson Explorer’s and Gibson Flying V’s. He can make up to 30 guitars per week, but he can only make up to 20 Gibson Explorer’s and 20 Gibson Flying V’s. Write and graph a system of inequalities that shows the combination of Gibson Explorer electric guitars and Gibson Flying V electric guitars that he can make if he wants to sell at least 30 guitars per week. If Gibson Explorers sell for $80 each and Gibson Flying Vs sell for $5 each, what is the most money he can make in a week? Explain.

Answer 1

Okay so the equation. Lets say e is explorers and v is flying vs and m = money.

e + v > or = 30.

80e + 5v =m.
 
e < or = 20\
v < or = 20.
Okay, the most money he could make would be if he made 20 explorers at 80 dollars and 10 vs at 5 dollars.
Total money...
1600 + 50 = 1650.
So he could make $1650.