4. (10 points) If Dwight is told that he must use at least 20 pounds of Feed Type C, will that

change the mix? If so, how? Record your solution below:

AMOUNT of Feed Type: A =__________; B =__________; C =__________; D =__________

Total pounds of Feed produced =____________; Total cost of Feed = $ __________________

2. Dwights Pig Feed Mix Decision Variables:

Let A, B, C and D be the number of pounds of each feed type included in the mix

Objective Function: MIN (Cost) Z = $1.50A + $2.50B + $2.75C + $1.85D

Subject to constraints:

Minimum Required Calories: 70A + 140B + 50C + 60D 4000

Maximum Required Calories: 70A + 140B + 50C + 60D 8000

Vitamins Required: 30A + 80B + 30C + 75D 7000

Minimum Protein: 60A + 40B + 10D 1200

Maximum Protein: 60A + 40B + 10D 2000

Lbs of A Available: A 100

Lbs of B Available: B 100

Lbs of C Available: C 100

Lbs of D Available: D 60

Limit of Type B in Mix: 0.33A + 0.67B 0.33C 0.33D 0

OR B (1/3)(A + B + C + D)

Total Mix Required: A + B + C + D 100

Non-neg: A, B, C and D 0