Question

C-town brewery brews two beers: Expansion Draft and Burning River. Expansion draft sells for $24 per barrel while Burning River sells for $11 per barrel. Producing a barrel of Expansion Draft takes 14 pounds of corn and 7 pounds of hops. Producing a barrel of Burning River requires 2 pounds of corn, 9 pounds of rice, and 4 pounds of hops. The brewery has 770 pounds of corn, 450 pounds of rice, and 700 pounds of hops.

Assuming a linear relationship, use the Excel Solver to determine the optimal mix of Expansion Draft and Burning River that maximizes C-town's revenue. (Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 2 decimal places.)

Decision for expansion draft
Decision for burning river
Total sales	$

	Resources Used
Corn
Rice
Hops

Answer 1

Below is the LP Formulation -

Objective Function - Maximize Z = 24X+11Y

s.t. constraints -

14X+2Y <=770 --> Corn

9Y <=450 --> Rice

7X+4Y <=700 --> Hops

X,Y >=0

The maximum value is 1678 considering X and Y are integers.

Below is the solver solution -