Do the following functions exhibit increasing, constant, or decreasing returns to scale? what happens to the marginal product of each individual factor as that factor is increased and the other factor held constant?

a. q= 3l+2k

b. q= (2l + 2k)^.5

c. q=3lk^2

d. q=l^.5k^.5

e. q=4l^.5 + 4k

The monthly payment m of a loan of amount p for y years with an interest rate r can be calculated by the formula: m = p(r/12) 1 â’ (1 + r/12)â’12y calculate the monthly payment and the cummulative total payment for a $100,000 loan with an interest rate of 4.85% if taken out for 10 years, for 11 years, etc., up to a 30 year term. display the results in a three-column table where the first column is the number of years, the second is the monthly payment, and the third is the cummulative total payment. note: use format bank; for this problem. also, remember to represent the interest rate as a decimal (e.g. 0.0485) 2. a torus-shaped water tube is designed to have a volume of 8, 000in3 . the volume of the tube, v , and its surface area, s, are given by: v = 1 4 ď€ 2 (a + b)(b â’ a) 2 s = ď€ 2 (b 2 â’ a 2 ) if a = kb, determine s, a, and b for k = 0.2, 0.3, 0.7. display the results in a table

Throne technical university is looking for three people to work in its plant-biology laboratory. the hiring manager is finding that the most suitable job candidates live in other countries and are not willing to move to the city where the university is located. which situation is the university facing? a. lack of flexible workforce b. surpluses in labor talent c. an appearance of quota systems d. deficits in minimum wage demands

Wilson company paid $5,000 for a 4-month insurance premium in advance on november 1, with coverage beginning on that date. the balance in the prepaid insurance account before adjustment at the end of the year is $5,000, and no adjustments had been made previously. the adjusting entry required on december 31 is: (a) debit cash. $5,000: credit prepaid insurance. $5,000. (b) debit prepaid insurance. $2,500: credit insurance expense. $2500. (c) debit prepaid insurance. $1250: credit insurance expense. $1250. (d) debit insurance expense. $1250: credit prepaid insurance. $1250. (e) debit insurance expense. $2500: credit prepaid insurance. $2500.