A manufacturing plant makes two types of inflatable boats—a two-person boat and a four-person boat. Each two-person boat requires 2 labor-hours from the cutting department, while each four-person boat requires 1 labor hour from the cutting department. Maximum hours available for the cutting department is 20.The two-person boat requires 10 hours of assembling and 2 hours of finishing, while the four-person boats require 1 hour of assembling and 5 hours of finishing. The machines in the finishing and assembly department require a minimum usage of 36 hours, so a minimum of 36 hours for cutting and 36 hours for finishing are available. The company makes a profit of $3 on each two-person boat and $1 on each four-person boat. Write down the profit function and the constraints. Draw the feasible region.
A manufacturing plant makes two types of inflatable boats—a two-person boat and a four-person boat. Each two-person boat requires 2 labor-hours from the cutting department, while each four-person boat requires 1 labor hour from the cutting department. Maximum hours available for the cutting department is 20.The two-person boat requires 10 hours of assembling and 2 hours of finishing, while the four-person boats require 1 hour of assembling and 5 hours of finishing. The machines in the finishing and assembly department require a minimum usage of 36 hours, so a minimum of 36 hours for cutting and 36 hours for finishing are available. The company makes a profit of $3 on each two-person boat and $1 on each four-person boat. Write down the profit function and the constraints. Draw the feasible region.
Step by step
Solved in 3 steps with 1 images
