find a solution that maximizes its weekly profit.

Type	Rental cost	Minimum Production	Maximum Production	Selling price	Unit variable cost
Shirts	$1,500	500	2,000	$35	$20
Shorts	$1,200	No minimum	1,800	$40	$10
Skirts	$1,600	No minimum	1,200	$65	$25
Pants	$1,500	200	1,000	$70	$30

a. Formulate the algebraic model by writing decision variables, objective function, and constraints.

b. Add a constraint to ensure that the company produces pants only if it also produces shirts.