INFO 372
Homework 6
Due date: Tuesday, May 2, at the beginning of class.
1  TOYS4U, Inc. manufactures two types of wooden toys: dinosaurs and tractors. A
dinosaur sells for $27 and uses $10 worth of raw materials. Each dinosaur that is
manufactured increases the company’s variable labor and overhead costs by $14. A
tractor sells for $21 and uses $9 worth of raw materials. Each tractor built increases the
company’s
variable labor and overhead costs by $10. The manufacture of wooden
dinosaurs and tractors requires two types of skilled labor: carpentry and finishing. A
dinosaur requires 2 hours of finishing labor and 1 hour of carpentry labor. A tractor
requires 1 hour of finishing and 1 hour of carpentry labor. Each week, TOYS4U can
obtain all the needed raw material but only 100 finishing hours and 80 carpentry hours.
Demand for tractors is unlimited, but at most 40 dinosaurs are bought each week.
TOYS4U wants to maximize weekly profit (revenues – costs).
a)
Formulate a linear programming model of TOYS4U’s situation that can be used
to maximize weekly profit.
b)
Solve the problem graphically (your answer should include the identification of
the feasible region, optimal solution (objective function, decision variables),
binding constraints and isoprofit line).
c)
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 Spring '07
 GNOMES
 Optimization, optimal solution, linear programming model, Carco

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