10. Production Scheduling A manufacturer of lightweight mountain tents makes a standard model and an expedition model. Each standard tent requires 1 labor-hour from the cutting department and 3 labor-hours from the assembly department. Each expedition tent requires 2 labor-hours from the cutting department and 4 labor-hours from the assembly department. The maximum labor-hours available per day in the cutting and assembly departments are 32 and 84, respectively. If the company makes a profit of $50 on each standard tent and $80 on each expedition tent, how many tents of each type should be manufactured each day to maximize the total daily profit (assuming that all tents can be sold)? a) Define the variables: b) What are the constraint inequalities? Inequality concerning cutting: Inequality concerning assembly:

Practical Management Science
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Author:WINSTON, Wayne L.
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10. Production Scheduling A manufacturer of lightweight mountain tents makes a standard model
and an expedition model. Each standard tent requires 1 labor-hour from the cutting department and 3
labor-hours from the assembly department. Each expedition tent requires 2 labor-hours from the cutting
department and 4 labor-hours from the assembly department. The maximum labor-hours available per
day in the cutting and assembly departments are 32 and 84, respectively.
If the company makes a profit of $50 on each standard tent and $80 on each expedition tent, how many
tents of each type should be manufactured each day to maximize the total daily profit (assuming that
all tents can be sold)?
a) Define the variables:
b) What are the constraint inequalities?
Inequality concerning cutting:
Inequality concerning assembly:
c) What is the objective function?
Transcribed Image Text:10. Production Scheduling A manufacturer of lightweight mountain tents makes a standard model and an expedition model. Each standard tent requires 1 labor-hour from the cutting department and 3 labor-hours from the assembly department. Each expedition tent requires 2 labor-hours from the cutting department and 4 labor-hours from the assembly department. The maximum labor-hours available per day in the cutting and assembly departments are 32 and 84, respectively. If the company makes a profit of $50 on each standard tent and $80 on each expedition tent, how many tents of each type should be manufactured each day to maximize the total daily profit (assuming that all tents can be sold)? a) Define the variables: b) What are the constraint inequalities? Inequality concerning cutting: Inequality concerning assembly: c) What is the objective function?
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