Suppose a production function is given by f(k, l) = kl2 ; the price of capital is $10 and the price of labor is $15. what combination of labor and capital minimizes the cost of producing any output? to produce a given level of output q, how many units of l and k are needed? express the optimal inputs choices l(q) and k(q) as functions of the level of output q.

Margaret company reported the following information for the current year: net sales $3,000,000 purchases $1,957,000 beginning inventory $245,000 ending inventory $115,000 cost of goods sold 65% of sales industry averages available are: inventory turnover 5.29 gross profit percentage 28% how do the inventory turnover and gross profit percentage for margaret company compare to the industry averages for the same ratios? (round inventory turnover to two decimal places. round gross profit percentage to the nearest percent.)

)a business incurs the following costs per unit: labor $125/unit, materials $45/unit, and rent $250,000/month. if the firm produces 1,000,000 units a month, calculate the following: a. total variable costs b. total fixed costs c. total costs

About 20 years ago, sturdy light, inc., produced a sturdy, lightweight backpack in a market that was rapidly growing. sturdy light became a leader in this market. eventually, the backpack market reached the maturity stage and slowed down. however, by this time, sturdy light had developed a strong brand name and continued to steadily lead the market. which of the following describes this scenario? a. sturdy light was a star that developed into a cash cow. b. sturdy light was a question mark that developed into a star. c. sturdy light was a dog that developed into a question mark. d. sturdy light was a cash cow that developed into a star.