Answer to Question #49450 in Linear Algebra for Steven

Question

a floor manager is going to install two types of machine, small and large. the following table shows the number of operators and the space requirements for each machine:

Small Large Maximum available
Number of operators 5 4 40
Space in m2 2 4 28

i) Taking x to represent the number of small machines and y to represent the number of large machines, write down two inequalities in x and y and illustrate these on a graph.

ii) If the profit on each small machine is €120 per day and the profit on each large machine is €200 per day, calculate the number of each type of machine that should be installed in order to have a maximum profit. What is the profit?