Berry Type	A	B	C	D
Yield, lb/plant	2.0	2.5	3.0	1.8
Land, plants/acre	10,000	8,000	6,000	12,000
Labor, hours/plant	0.10	0.15	0.20	0.10

At the present time, berries are selling for 50 cents a pound, and we have 10 acres of land and 10,000 hours of labor available for planting and picking the berries. The Berry farm wishes to maximize revenue from the plantings using all the 10 acres. Due to the need for disease resistance of plants, the farm will not plant more than 3 acres of any one strawberry type. (Hint: Formulate this problem with decision variables equal to the number of acres planted of each type of berry.)

a. Formulate the problem as a linear programming problem. What is the objective function to maximize revenue? Also, what is the constraint for labor hours?

Maximize:

A

+

B

+

C

+

D

Labor Hours Constraint:

A

+

B

+

C

+

D

b. How many acres of berries of each type should be planted for maximum revenue?

	Acres of Berries
A
B
C
D

c. More labor can be obtained for $5 an hour, and more land can be rented for $8,000 per acre. Should additional resources be obtained to increase revenue?

Should more labor be acquired?

(Click to select) Yes No

Number of hours =

Should more acres be required?

(Click to select) Yes No

Number of acres =