Reference no: EM13940613
Problem 19-13
A manager wants to know how many units of each product to produce on a daily basis in order to achieve the highest contribution to profit. Production requirements for the products are shown in the following table.
Product Material 1
(pounds) Material 2
(pounds) Labor
(hours)
A 2 3 3.2
B 1 5 1.5
C 6 - 2.0
Material 1 costs $5 a pound, material 2 costs $4 a pound, and labor costs $10 an hour. Product A sells for $80 a unit, product B sells for $90 a unit, and product C sells for $73 a unit. Available resources each day are 205 pounds of material 1; 300 pounds of material 2; and 150 hours of labor.
The manager must satisfy certain output requirements: The output of product A should not be more than one-third of the total number of units produced; the ratio of units of product A to units of product B should be 3 to 2; and there is a standing order for 5 units of product A each day.
a. Determine the optimal values of the decision variables. (Round your answers to 2 decimal places.)
Decision Variables Optimal Values
A
B
C
b. Determine the optimal value of the objective function. (Round your answers to 2 decimal places. Omit the "tiny_mce_markerquot; sign in your response.)
Objective functionvaluez = $
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