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Floataway Tours has $420,000 that can be used to purchase new rental boats for hire during the summer. The boats can be purchased from two

Floataway Tours has $420,000 that can be used to purchase new rental boats for hire during the

summer. The boats can be purchased from two different manufacturers, Sleekboat and Racer. Floataway Tours would like to purchase at least 50 boats and would like to purchase the same number from Sleekboat as from Racer to maintain goodwill. At the same time, Floataway Tours wishes to have a total seating capacity of at least 200.

The following table gives the number of seats and profit for each type of boat

1. What are the decision variables

2.What are the objectives or constraints? This is based on all the conditions stated in the problem (in English - not in mathematical model)

3 Which of the objectives are constraints, and which makes sense to be the objective function? (in English - not in mathematical model)

4 State the objective function in terms of the decision variables. Use Dimensional analysis to set it up. (in mathematical model - linear problem)

5 Give the constraints. Again, USE DIMENSIONAL ANALYSIS. (mathematical model - linear problem)

6What is the answer? You will answer this using excel solver. I will also ask some other questions involving sensitivity and answer reports. Answer should be: How many boats of what kind to maximize or minimize what?

Sleekboat

Speedhawk

Sleekboat Silverbird

Racer Catman

Racer Classys

Number of seats per boat

3

5

2

6

Expected Daily Profit per boat

$70

$80

$50

$110

Cost per boat

$6000

$7000

$5000

$9000

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