A small manufacturing plant makes three types of inflatable boats: one person, two-person,and four-person models. Each boat requires the services of three departments, as listed in thetable. The cutting, assembly, and packaging departments have available a maximum of 380,330, and 120 labor-hours per week, respectively.Department One-PersonBoatTwo-PersonBoatFour-PersonBoatCutting 0.5 hr 1.0 hr 1.5 hrAssembly 0.6 hr 0.9 hr 1.2 hrPackaging 0.2 hr 0.3 hr 0.5 hra) Calculate how many boats of each type must be produced each week for the plant tooperate at full capacity.b) Calculate how is the production schedule in part (a) affected if the packagingdepartment is no longer used.c) Calculate how is the production schedule in part (a) affected if the four-person boat isno longer produced
A small manufacturing plant makes three types of inflatable boats: one person, two-person,
and four-person models. Each boat requires the services of three departments, as listed in the
table. The cutting, assembly, and packaging departments have available a maximum of 380,
330, and 120 labor-hours per week, respectively.
Department One-Person
Boat
Two-Person
Boat
Four-Person
Boat
Cutting 0.5 hr 1.0 hr 1.5 hr
Assembly 0.6 hr 0.9 hr 1.2 hr
Packaging 0.2 hr 0.3 hr 0.5 hr
a) Calculate how many boats of each type must be produced each week for the plant to
operate at full capacity.
b) Calculate how is the production schedule in part (a) affected if the packaging
department is no longer used.
c) Calculate how is the production schedule in part (a) affected if the four-person boat is
no longer produced
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