Variable Cells

Final

Reduced

Objective

Allowable

Allowable

Cell

Name

Value

Cost

Coefficient

Increase

Decrease

Type A

x

$5$

$0$

$3$

$5$

$3$

Type B

y

$2$

$0$

$4$

$3$

$3$

Type C

z

$0$

$-3\mathrm{.}5$

$6$

$1$E$+30$

$8$

Constraints

Final

Shadow

Constraint

Allowable

Allowable

Cell

Name

Value

Price

R$.$H$.$ Side

Increase

Decrease

Wood

$1$

$32$

$1\mathrm{.}5$

$32$

$20$

$10$

Steel

$2$

$40$

$2\mathrm{.}5$

$30$

$45$

$30$

hours

$3$

$15$

$0$

$38$

$1$E$+30$

$25$

What is the expected profit if the coefficient of $$x$$ changes to $6?$

a$.$

$38$

b$.$

We cannot tell since $6$ passes the allowable increase

c$.$

We cannot tell since the coefficient of x cannot change independent of coefficients of y and z

d$.$

$43$

e$.$

$26$