Answer to Question #175858 in Linear Algebra for Salman

Question

A worker requires 8 tanks of crude oil and petrol to get a work done. He gains 5000 

Ghana cedis per tank of crude oil used and 3000 Ghana cedis per petrol used for any 

work done. To finish the work, he further requires 10 tanks by combining 2 tanks of 

crude oil and a tank of petrol. What is the maximum profit he can make?

Answer 1

The total numbers of tanks is $8+10=18.$

A worker combines 2 tanks of  crude oil and a tank of petrol. Then he requires 12 tanks of crude oil and 6 tanks of petrol.

The profit is

$$12(5000)+6(3000)=78000$$

The maximum profit is 78000 Ghana cedis.