and C. The labor
Department
Product
Product3
1.50
3.00
2.00
1.00
0.25
0.25
0.25
During the next production period, the labor-hours available are 450 in department A, 350 in department B, and 50 in department C. The profit e
(a) Formulate a linear pro
1, 2, 3.]
Ma
25P
s.t.
1.50x1 + 3.00x2 + 2.00x3 ≤ 450 (Department A)
1.00x1 + 0.25x2 + 0.25x3 ≤ 350 (Department B)
0.25x1 + 0.25x2 + 0.25x3 ≤ 50 (Department C)
x1, x2, x3 ≥ 0
(b) Solve the linear prog
ormulated in part (a). How much
of each product should be produced,
projected total profit contribution (in dollars)?
(P1, P2, P3)
with profit $
(c) After evaluating the solution obtained in part (b), one of the production supt solution developed in part (b) is to be used, what is the total profit contribution (in dollars) after taking into account the setup costs?
for product 3. If the
d
should not consider making more than : units of product 1, i = 1, 2, 3.)
units of product 2, or
units of product 3. (Let P1, P2, P3 be the units of product i produced and y be the 0-1 variable that is one if any quantity of product i is produced and zero otherwise, for
What is the objective function of the mixed-integer linear program?
Maximize
s.t.
units of product 1 produced
units of Product 2 produced
units of product 3 produced
(e) Solve the mixed-integer linear program formulated in part (d). How much of each product should be produced, and what is the projected total profit (in dollars) contribution
with profit $
