Solve the problem.A small-appliance manufacturer has plants in Baltimore and Philadelphia, each of which produces toasters and blenders. The Baltimore plant can produce at most 800 appliances in one day at a cost of $12 per toaster and $15 per blender. The Philadelphia plant can produce at most 500 appliances in one day at a cost of $10 per toaster and $20 per blender. A rush order is received for 600 toasters and 300 blenders. The manufacturer will choose the number of toasters and blenders produced at each plant in order to minimize costs.(a) Name in words the four quantities that must be determined.(b) Express the four quantities in (a) algebraically using only the two variables, x and y.(c) Write the complete system of inequalities (in terms of x and y) needed to solve the

Question

problem.(d) Write the objective function in terms of x and y.

What will be an ideal response?

Answer 1

(a) the number of toasters produced in Baltimore, the number of blenders produced in Baltimore, the number of toasters produced in Philadelphia, the number of blenders produced in Philadelphia
(b) x, y, 600 - x, 300 - y, respectively
(c) 
(d) 12x + 15y + 10(600 - x) + 20(300 - y) = 12,000 + 2x - 5y