The production function for a competitive firm is Q = K.5L.5. The firm sells its output at a price of
$10, and can hire labor at a wage of $5. Capital is fixed at one unit. The profit-maximizing
quantity of labor is:
A. 2/5.
B. 1.
C. 10.
D. None of the answers are correct.

please explain in details

Uppose stanley's office supply purchases 50,000 boxes of pens every year. ordering costs are $100 per order and carrying costs are $0.40 per box. moreover, management has determined that the eoq is 5,000 boxes. the vendor now offers a quantity discount of $0.20 per box if the company buys pens in order sizes of 10,000 boxes. determine the before-tax benefit or loss of accepting the quantity discount. (assume the carrying cost remains at $0.40 per box whether or not the discount is taken.)

Ann chovies, owner of the perfect pasta pizza parlor, uses 20 pounds of pepperoni each day in preparing pizzas. order costs for pepperoni are $10.00 per order, and carrying costs are 4 cents per pound per day. lead time for each order is three days, and the pepperoni itself costs $3.00 per pound. if she were to order 80 pounds of pepperoni at a time, what would be the average inventory level?

Ashop owner uses a reorder point approach to restocking a certain raw material. lead time is six days. usage of the material during lead time is normally distributed with a mean of 42 pounds and a standard deviation of four pounds. when should the raw material be reordered if the acceptable risk of a stockout is 3 percent?