Sam and Beth have started a hat business in their basement. They make baseball caps and sun hats. Let b represent the number of baseball caps, and let s represent the number of sun hats. Manufacturing demands and machinery constraints confine the production per day to the feasible region defined by

They make a profit of $2 per baseball hat and $1 per sun hat.
a. Graph the feasible region. Give the coordinate of the vertices.
b. How many of each type of hat should they produce per day for maximum profit? (At the end of each day, all partially made hats are recycled at no profit.) What is the maximum daily profit?

Transcribed Image Text:

b20 S20 4-b20 2s +bs22