I need your HELP!!!!- Applied math

Question

Applied math- Inequality 

A street vendor sells hot dogs and buffalo burgers. A hot dog costs the vendor $0.80 and the buffalo burger costs the vendor $1.25. The hot dog occupies 240 cm3 in space and the buffalo burger occupies 320 cm3. The vendor can only get a maximum of 88 buffalo burgers daily. The vendor spends a maximum of $150 on food per day and has a total of 43 680 cm3 in space to store food. The vendor gets $1.50 in profit per hot dog and $2 in profit per buffalo burger.

1. How many of each should he bring daily in order to maximize his profit?

1. 2 marks for correct inequalities
2. 1 mark for showing work in order to find optimal value
3. 1 mark for optimal value

Answer 1

Let HD = number of hot dogs

BB = number of buffalo burgers

Profit = 1.5HD + 2BB

240HD + 320BB <= 43,680

BB <= 88

.8HD + 1.25BB <= 150

Solution: Max Profit = $273

HD = 150

BB = 24