Jake and Paul run a paper company. Each week they need to produce 1,000 reams of paper to ship to their customers. The paper plant's long-run production function is Q = 4 K^0.75 L^0.25, where Q is the number of reams produced, K is the quantity of capital rented, and L is the quantity of labor hired. For this production function, the MPL = K^0.75/L ^0.75 and the MPK = 3 L^0.25/K^0.25. The weekly cost function for the paper plant is C = 10K + 2L, where C is the total weekly cost

a. What ratio of capital to labor minimizes Jake and Paul's total costs?

b. How much capital and labor will Jake and Paul need to rent and hire in order to produce 1,000 reams of paper each week?

c. How much will hiring these inputs cost them?

Employees of dti, inc. worked 1,600 direct labor hours in january and 1,000 direct labor hours in february. dti expects to use 18,000 direct labor hours during the year, and expects to incur $22,500 of worker’s compensation insurance cost for the year. the cash payment for this cost will be paid in april. how much insurance premium should be allocated to products made in january and february?

If a firm plans to issue new stock, flotation costs (investment bankers' fees) should not be ignored. there are two approaches to use to account for flotation costs. the first approach is to add the sum of flotation costs for the debt, preferred, and common stock and add them to the initial investment cost. because the investment cost is increased, the project's expected return is reduced so it may not meet the firm's hurdle rate for acceptance of the project. the second approach involves adjusting the cost of common equity as follows: . the difference between the flotation-adjusted cost of equity and the cost of equity calculated without the flotation adjustment represents the flotation cost adjustment. quantitative problem: barton industries expects next year's annual dividend, d1, to be $1.90 and it expects dividends to grow at a constant rate g = 4.3%. the firm's current common stock price, p0, is $22.00. if it needs to issue new common stock, the firm will encounter a 6% flotation cost, f. assume that the cost of equity calculated without the flotation adjustment is 12% and the cost of old common equity is 11.5%. what is the flotation cost adjustment that must be added to its cost of retaine

Why do you think the federal government commits so much time and so many resources to supporting small businesses when they make less of a contribution to the overall economy than large corporations?