The daily output at a plant manufacturing radios is approximated by the function f(L, K)=50K‾‾√10L3/10 radios where L is the size of the labor force measured in hundreds of worker-hours and K is the daily capital investment in thousands of dollars. If the plant manager has a daily budget of $18,000 and the average wage of an employee is $8.00 per hour, what combination of worker-hours (to the nearest hundred) and capital expenditures (to the nearest thousand) will yield maximum daily production?

Which of the following is a disadvantage to choosing a sole proprietorship business structure? question 9 options: the owner has personal responsibility for the company's liabilities. the owner has to share the profits with partners. the owner is still liable for personal debts. the owner has to report to shareholders.

When interest is compounded continuously, the amount of money increases at a rate proportional to the amount s present at time t, that is, ds/dt = rs, where r is the annual rate of interest. (a) find the amount of money accrued at the end of 3 years when $4000 is deposited in a savings account drawing 5 3 4 % annual interest compounded continuously. (round your answer to the nearest cent.) $ (b) in how many years will the initial sum deposited have doubled? (round your answer to the nearest year.) years (c) use a calculator to compare the amount obtained in part (a) with the amount s = 4000 1 + 1 4 (0.0575) 3(4) that is accrued when interest is compounded quarterly. (round your answer to the nearest cent.) s = $

The cost of labor is significantly lower in many countries than in the united states. if you move manufacturing to a facility to a country labeled as part of the axis of evil and a threat to world peace you will increase the net income of your client by $10 million per the facility is located in a country which limits personal freedom and engages in state sponsored terrorism. imagine you are a marketing consultant. (a) what would you tell the executives to do? (b) what are the alternatives? what are your recommendations? why do you recommend this course of action?