Exercise 1. Gone Pro is considering whether or not to produce three new cameras and, if so, how

many of each.Each product needs to go through three production stages:machining, assembly, and

testing.The table below shows how much time each product spends in each manufacturing stage and

the total time available that they have contracted for each stage. The table also indicates,for

each product,the profit per unit sold and the one-time setup cost needed to produce them.

Camera ModelsProduction StageHeroSilverHeroGoldFusion

Available Machining236600

Assembly634300

Testing562400

Profit$48$55$50

Setup cost$1000$800$900

Write and solve a linear optimization model to help Gone Pro decide which products to produce,and

inwhatquantity,inordertomaximizeprofit.Whatif,forreasonsofscale, itis

notworthproducinganyquantityoftheFusioncameraunlesstheyproduceatleast 40

units of it?How would you modify your original model? What happens to the optimal solution in this case?