In Problems 49-64, construct a mathematical model in the form of a linear programming problem. (The answers in the back of the book for these application problems include the model.) Then solve by the geometric method. Water skis. A manufacturing company makes two types of water-skis––a trick ski and slalom ski. The relevant manufacturing data are given in the table below. Labor-Hours per Ski Department Trick Ski Slalom Ski Maximum Labor-Hours Available per Day Fabricating 6 4 108 Finishing 1 1 24 (A) If the profit on a trick ski is $ 40 and the profit on a slalom ski is $ 30 , how many of each type of ski should be manufactured each day to realize a maximum profit? What is the maximum profit? (B) Discuss the effect on the production schedule and the maximum profit if the profit on a slalom ski decreases to $ 25 . (C) Discuss the effect on the production schedule and the maximum profit if the profit on a slalom ski increases to $ 45 .
In Problems 49-64, construct a mathematical model in the form of a linear programming problem. (The answers in the back of the book for these application problems include the model.) Then solve by the geometric method. Water skis. A manufacturing company makes two types of water-skis––a trick ski and slalom ski. The relevant manufacturing data are given in the table below. Labor-Hours per Ski Department Trick Ski Slalom Ski Maximum Labor-Hours Available per Day Fabricating 6 4 108 Finishing 1 1 24 (A) If the profit on a trick ski is $ 40 and the profit on a slalom ski is $ 30 , how many of each type of ski should be manufactured each day to realize a maximum profit? What is the maximum profit? (B) Discuss the effect on the production schedule and the maximum profit if the profit on a slalom ski decreases to $ 25 . (C) Discuss the effect on the production schedule and the maximum profit if the profit on a slalom ski increases to $ 45 .
In Problems 49-64, construct a mathematical model in the form of a linear programming problem. (The answers in the back of the book for these application problems include the model.) Then solve by the geometric method.
Water skis. A manufacturing company makes two types of water-skis––a trick ski and slalom ski. The relevant manufacturing data are given in the table below.
Labor-Hours per Ski
Department
Trick Ski
Slalom Ski
Maximum Labor-Hours
Available per Day
Fabricating
6
4
108
Finishing
1
1
24
(A) If the profit on a trick ski is
$
40
and the profit on a slalom ski is
$
30
, how many of each type of ski should be manufactured each day to realize a maximum profit? What is the maximum profit?
(B) Discuss the effect on the production schedule and the maximum profit if the profit on a slalom ski decreases to
$
25
.
(C) Discuss the effect on the production schedule and the maximum profit if the profit on a slalom ski increases to
$
45
.
Finite Mathematics & Its Applications (12th Edition)
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