PART V Develop an optimization model involving a project go/no-go switch and fixed costs.

The factory can produce Product A with profit of $4 per unit less a fixed cost of $150, and produce Product B with profit of $3 per unit less a fixed cost of $120. The process to produce Product A requires 10 minutes per unit on a gizmo machine. The process to produce Product B requires 5 minutes per unit on a gizmo machine. The factory has one gizmo machine with 400 minutes available, but it could rent a second gizmo machine for $100 to get an additional 400 minutes available. The total production capacity for product A and product B combined is 500 units.

Develop a linear optimization model of this business situation to maximize profit.

1. Mark the item(s) that are used in the model.

Group of answer choices

a) x1, x2 are continuous

b) x1, x2, x5 are continuous

c) x1, x2, x3, x4 are continuous

d) x1, x2, x3, x4, x5 are continuous

e) x1, x2 are binary

f) x3, x4, x5 are binary

g)x1, x2, x3, x4, x5 are binary

2. Mark the item(s) that are used in the model.

Group of answer choices

a) maximize 4x1 + 3x2 100x5

b) maximize 4x1 + 3x2 150x3 120x4

c) maximize 4x1 + 3x2 + 150x3 + 120x4

d) maximize 4x1 + 3x2 150x3 120x4 100x5

e ) maximize 10x1 + 5x2 150x3 120x4 100x5

f ) maximize 150x1 + 120x2 4x3 3x4

g) maximize 4x1 + 3x2 + 150x3 + 120x4 + 100x5

h) 10x1 + 5x2 400

i) 4x1 + 3x2 400

j) 10x1 + 5x2 400x5

k) 4x1 + 3x2 400x5

l) 10x1 + 5x2 400 + 400x5

m) x3 + x4 0

n) x3 + x4 + x5 0

o) x1 + x2 400

p) x1 + x2 500

q) x1 + x2 + 400 0

r) x1 + x2 + 500 0

s) x1 x3

t) x1 500x3

u) x2 500x4

v) x1 500 + x3

w) x2 500 + x4

x) x1 250x3 + 250x4

y) x1 500x3 + 500x4

x2 x4

4x1 + 3x2 400 + 400x5