Question

The following questions are based on this problem and accompanying Excel windows. Jack's distillery blends scotches for local bars and saloons. One of his customers has requested a special blend of scotch targeted as a bar scotch. The customer wants the blend to involve two scotch products, call them A and B. Product A is a higher quality scotch while product B is a cheaper brand. The customer wants to make the claim the blend is closer to high quality than the alternative. The customer wants 50 1500 ml bottles of the blend. Each bottle must contain at least 48% of Product A and at least 500 ml of B. The customer also specified that the blend have an alcohol content of at least 85%. Product A contains 95% alcohol while product B contains 78%. The blend is sold for $12.50 per bottle. Product A costs $7 per liter and product B costs $3 per liter. The company wants to determine the blend that will meet the customer's requirements and maximize profit

Answer 1

Answer:

The blend should be made with 720 ml of Product A and 780 ml of Product B

Explanation:

We create excel solve to get the cheapest blend with the requirement givens by the customer:

      A              B          C        D           E       F

1   ml       type             $     alcohol $mix alcohol mix

2   720 Product A    7    0.95 5.04  0.456

3  780 Product B     3    0.78 2.34  0.4056  

4  Total                  7.38 0.8616

5  Sales Price                      12.50

6  Gross Profit                      5.12  

Constrains:

A2 = integer

A2 > 1500 x 48/100

A3 >  500

F4 > 0.85