A company makes two products,X and Y,on the same type of direct labour and production capacity per period is restricted to 60,000 direct labour hours. The contribution per unit is $8 for product X and $6 for Product Y.The following constraints apply to production and sales: x ≤10,000 (Sale demand for Product X) y ≤12,000 (Sales demand for Product Y) 5x+4y ≤60,000 (Direct labour hours) The contribution-maximising output is to produce and sell 10,000 units of Product X and 2,500 units of Product Y. What is the shadow price per direct labour hour and for how many additional hours of labour does this shadow price per hour apply?
A.
$1.50 per hour for the next 38,000 direct labour hours
B.
$1.50 per hour for the next 47,500 direct labour hours
C.
$1.60 per hour for the next 38,000 direct labour hours
D.
$1.60 per hour for the next 47,500 direct labour hours