QUESTION 6

Q6to Q10 are based on this problem.

The American Poultry Company produces two types of chicken cutlets for sale to restaurants. Each type of cutlet consists of white meat and dark meat. Cutlet 1 sells for $5 per pound and must consist of between 70% and 80% white meat (by weight). Cutlet 2 sells for $4 per pound and must consist of between 60% and 70% white meat (by weight). Market research indicates that at most 1000 pounds of cutlet 1 and 600 pounds of cutlet 2 can be sold each week. The two types of chickens used to manufacture the cutlets are purchased from various chicken farms. Each grade A chicken costs $8 and yields 6 pounds of white meat and 2 pounds of dark meat. Each grade B chicken costs $6 and yields 4 pounds of white meat and 3 pounds of dark meat.

Formulate an LP model that determines how this company can maximize its total weekly profit from the production and sale of the two types of cutlets.

Which can not be the decision variable?

	A.	Maximum Lbs of Cutlet 1to sell
	B.	Lbs of Cutlet 1 to produce
	C.	Lbs of white meat used in Cutlet 1
	D.	Number of Grade A Chicken to buy

QUESTION 7

Given the following decision variables:

X1: lbs of Cutlet 1 to produce

X2: lbs of Cutlet 2 to produce

C1: Number of grade A chicken to buy

C2: Number of grade B chicken to buy

W1: lbs of white meat used in Cutlet 1

W2: lbs of white meat used in Cutlet 2

D1: lbs of dark meat used in Cutlet 1

D2: lbs of dark meat used in Cutlet 2

What is the objective function?

	A.	Max 5X1+4X2-8C1-6C2-8D1-6D2
	B.	Max 5X1+4X2-6C1-4C2
	C.	Max 5X1+4X2-8C1-6C2
	D.	Min 5(W1+D1)+4(W2+D2)-8C1-6C2

QUESTION 8

Which represents the lower bond of white meat percentage constraint for cutlet 1?

Note that we prefer all the decision variables are on the left-hand side of the constraint.

	A.	0.3W1-0.7D1>=0
	B.	0.3W1-D1<=0
	C.	0.2W1-D1<=0
	D.	0.2W1-D1>=0

QUESTION 9

Which represents the Dark Meat Availability constraint?

	A.	X2<=600
	B.	X1<=1000
	C.	D1+D2-2C1-3C2<=0
	D.	W1+W2-6C1-4C2<=0

QUESTION 10

Which represents the Sell Upper Bond for Cutlet 1 constraint?

	A.	W1+W2-6C1-4C2<=0
	B.	X1<=1000
	C.	X2<=600
	D.	D1+D2-2C1-3C2<=0