A rm manufactures two products, A and B. There is only one machine with 6000 hours available per year. Each unit of product A requires 5 machine hours while each unit of Product B requires 4 machine hours. A summary of the protability of each product is provided below. Product A Product B Selling price $150 $120 Costs: Direct material $50 $15 Direct labour $20 $25 Variable overhead $15 $20 Maximum yearly demand for Products A is 800 units and for Product B is 1200 units. Required: (a) Determine how many units of each product should be produced to maximise yearly prot. (2 marks) (b) If we now assume that in addition to the machine hour constraint, the firm also is constrained by the amount of labour available with a maximum of 5000 direct labour hours available for the year. Product A uses 4 direct labour hour per unit and Product B uses 5 direct labour hours per unit. Given this additional constraint, determine how many units of each product should be produced to maximise profits. What prot will be generated