Question
Question 1: The TEA Company produces 5 different flavors of tea: apple, cherry, lemon, orange, and pineapple. TEA statisticians report to management with monthly projections
Question 1: The TEA Company produces 5 different flavors of tea: apple, cherry, lemon, orange, and pineapple. TEA statisticians report to management with monthly projections of the minimum and maximum sales for each type of juice (based on previous retail orders). In the past these projections have been accurate, even though demand is very seasonal. Next months projections are given below (in 1000s of gallons).
Each month Management is faced with the decision of how much of each product is to be produces in the next month. Since raw material are readily available they do not constrain production, thus no finished product inventory is carried. What limits production are constraints on the amount of machine time for the three processes necessary to produce any of the 5 flavors. Total Blending time is limited to 2,500 hours per month. Straining time is limited to 2,000 hours. Bottling time limited to 3,000 hour a month and inspection to 300 hours. The time required for production of 1,000 gallons of each of the 5 teas is given below:
Demand
Maximum
Apple
50
Cherry
35
Lemon
50
Orange
Pineapple
50
20
Minimum
10
5
20
30
10
Apple
23
21
Cherry
22
40
10
Lemon
18
20
10
Orange
32
Pineapple
Blend
19
19
Strain
21
Bottle
10
10
10
Inspection
0
1
2.5
3
2
As a result of price and cost differences of the Tea each produces different revenue and contribution (per 1,000 gallons of production). This information is summarized below:
Set up this problem in Excel and using SOLVER, solve for optimal product mix Submit the excel sheet with Base Sheet, Answer Report and Sensitivity Report in D2L in Assignment Folder Test 1 Excel no later than 3.30 pm of Thursday October 1.
Apple | Cherry | Lemon | Orange | Pineapple | |
Revenue | 1,350 | 920 | 1,720 | 2,240 | 1,500 |
Variable Cost | 500 | 600 | 600 | 800 | 700 |
Contribution | 850 | 320 | 1,120 | 1,440 | 800 |
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