I NEED HELP FIGURING OUT HOW TO WORK THE PROBLEM NAD SETTING UP SOLVER IN EXCEL FOR THE PROBLEM

Georgia Cabinets manufactures kitchen cabinets that are sold to local dealers throughout the Southeast. Because of a large backlog of orders for oak and cherry cabinets, the company decided to contract with three smaller cabinetmakers to do the final finishing operation. For the three cabinetmakers, the number of hours required to do all the oak cabinets, the number of hours required to do all the cherry cabinets, the number of hours available for the final finishing operation, and the cost per hour to perform the work are shown here:

	Cabinetmaker 1	Cabinetmaker 2	Cabinetmaker 3
Hours required to do all the oak cabinets	50	42	30
Hours required to do all the cherry cabinets	60	48	35
Hours available	40	30	35
Cost per hour	$36	$42	$55

For example, Cabinetmaker 1 estimates that it will take 50 hours to do all the oak cabinets and 60 hours to do all the cherry cabinets. However, Cabinetmaker 1 only has 40 hours available for the final finishing operation. Thus, Cabinetmaker 1 can only do 40/50 = 0.8, or 80%, of the oak cabinets if it worked only on oak cabinets. Similarly, Cabinetmaker 1 can only do 40/60 = 0.67, or 67%, of the cherry cabinets if it worked only on cherry cabinets.

1. Formulate a linear programming model that can be used to determine the proportion of the oak cabinets and the proportion of the cherry cabinets that should be given to each of the three cabinetmakers in order to minimize the total cost of doing both projects.

Let	O1 = proportion of Oak cabinets assigned to cabinetmaker 1
	O2 = proportion of Oak cabinets assigned to cabinetmaker 2
	O3 = proportion of Oak cabinets assigned to cabinetmaker 3
	C1 = proportion of Cherry cabinets assigned to cabinetmaker 1
	C2 = proportion of Cherry cabinets assigned to cabinetmaker 2
	C3 = proportion of Cherry cabinets assigned to cabinetmaker 3

Min

fill in the blank 1O1

+

fill in the blank 2O2

+

fill in the blank 3O3

+

fill in the blank 4C1

+

fill in the blank 5C2

+

fill in the blank 6C3

s.t.

fill in the blank 7O1

fill in the blank 8C1

fill in the blank 9

Hours avail. 1

fill in the blank 10O2

+

fill in the blank 11C2

fill in the blank 12

Hours avail. 2

fill in the blank 13O3

+

fill in the blank 14C3

fill in the blank 15

Hours avail. 3

fill in the blank 16O1

+

fill in the blank 17O2

+

fill in the blank 18O3

=

fill in the blank 19

Oak

fill in the blank 20C1

+

fill in the blank 21C2

+

fill in the blank 22C3

=

fill in the blank 23

Cherry

O1, O2, O3, C1, C2, C3 0

1. Solve the model formulated in part (a). What proportion of the oak cabinets and what proportion of the cherry cabinets should be assigned to each cabinetmaker? What is the total cost of completing both projects? If required, round your answers for the proportions to three decimal places, and for the total cost to two decimal places.

	Cabinetmaker 1	Cabinetmaker 2	Cabinetmaker 3
Oak	O1 = fill in the blank 24	O2 = fill in the blank 25	O3 = fill in the blank 26
Cherry	C1 = fill in the blank 27	C2 = fill in the blank 28	C3 = fill in the blank 29

1. Total Cost = $
2. If Cabinetmaker 1 has additional hours available, would the optimal solution change?
3. If Cabinetmaker 2 has additional hours available, would the optimal solution change?
4. Suppose Cabinetmaker 2 reduced its cost to $38 per hour. What effect would this change have on the optimal solution? If required, round your answers for the proportions to three decimal places, and for the total cost to two decimal places.

	Cabinetmaker 1	Cabinetmaker 2	Cabinetmaker 3
Oak	O1 = fill in the blank 35	O2 = fill in the blank 36	O3 = fill in the blank 37
Cherry	C1 = fill in the blank 38	C2 = fill in the blank 39	C3 = fill in the blank 40