Problema Solution

The drama club has decided to purchase new lights and microphones. Lights cost $50 each and microphones cost $75 each. The drama club has $450 in their account. The drama club members know that there will be maintenence on these items - about $10 per light and $4 per microphone. They have budgeted $52 for these fees.

A.) Write a system of inequalities to represent the constraints.

B.) Graph the feasible region.

C.) If 8 people wil be using the lights and 9 people will be using the microphones, write an objective function.

D.) Find the maximum number of people to use these supplies.

Answer provided by our tutors

let


x = the number of new lights purchased

y = the number of microphones purchased


A.)


50x + 75y <= 450


10x + 4y <= 52


B.) click here to see the graph


Click to see all the steps



C.) F(x, y) = 8x + 9y