Bandy Corporation produces two products, Croquet Sets and Volleyball Games. The per unit selling prices and variable costs follow. Croquet Sets require $1$ machine hour per unit and Volleyball Games require $2$ machine hours per unit. The machine$$s capacity is $1,500$ hours per year. Both products are sold to a single customer who has agreed to buy up to $400$ croquet sets and $1,000$ volleyball games. Based on this information, Brandy Corporation$$s most profitable sales mix is:

Croquet Set Volleyball Game

Selling price per unit $ $75$ $ $62$

Variable costs per unit $4324$

a$.$

$1,500$ Croquet Sets and $0$ Volleyball Games.

b$.$

$200$ Croquet Sets and $650$ Volleyball Games.

c$.$

$0$ Croquet Sets and $750$ Volleyball Games.

d$.$

$400$ Croquet Sets and $550$ Volleyball Games.

e$.$

$400$ Croquet Sets and $1,000$ Volleyball Games.