1. Ann and Margaret run a small business in which they work together making blouses and skirts.
Each blouse takes 1 hour of Ann's time together with 1 hour of Margaret's time. Each skirt
involves Ann for 1 hour and Margaret for half an hour. Ann has 7 hours available each day and
Margaret has 5 hours each day.
They could just make blouses or they could just make skirts or they could make some of each.
Their first thought was to make the same number of each. But they get £8 profit on a blouse and
only £6 on a skirt.
(a) Formulate the problem as a linear programming problem.
(b) Find three solutions which satisfy the constraints.