This is a Linear programming problem: Joe has been working for Here We Go! Travel Agency for 5 years. Each year, a local ski club books their winter break trip with Joe. The van for the trip can only accommodate 10 people, and there are always at least 4 men and 3 women in the group. Joe makes a commission of $12.25 for each woman and $15.40 for each man that goes on the trip. How many men and women need to go on the trip to maximize Joe's commission? What is his maximum commission? What is his minimum commission? Write the objective function, C(x,y)= . Determine the constraints . Use the constraints to sketch a graph of the region of feasible solution and use the vertices of the region and the objective function to solve the problem. Write your answer as a complete sentence.
first I would let x be the number of women and y be the number of men.
My objective function is C(x,y)=12.25x + 15.40Y
My constraints is where I am having trouble: I know the x and y can be set to > and= to 0 but I can't figure out the rest??? Please help
first I would let x be the number of women and y be the number of men.
My objective function is C(x,y)=12.25x + 15.40Y
My constraints is where I am having trouble: I know the x and y can be set to > and= to 0 but I can't figure out the rest??? Please help