a. A firm is considering replacing the existing industrial air conditioning unit. They will pick one of two units. The first, the AC360, costs $26,335.00 to install, $5,124.00 to operate per year for 7 years at which time it will be sold for $6,901.00. The second, RayCool 8, costs $41,767.00 to install, $2,164.00 to operate per year for 5 years at which time it will be sold for $8,980.00. The firm's cost of capital is 6.52%. What is the equivalent annual cost of the AC360? Assume that there are no taxes. Please show an explanation or steps to this problem.

b. A firm is considering replacing the existing industrial air conditioning unit. They will pick one of two units. The first, the AC360, costs $26,317.00 to install, $5,050.00 to operate per year for 7 years at which time it will be sold for $7,071.00. The second, RayCool 8, costs $41,053.00 to install, $2,000.00 to operate per year for 5 years at which time it will be sold for $9,096.00. The firm's cost of capital is 5.57%. What is the equivalent annual cost of the RayCool8? Assume that there are no taxes. Please show an explanation or steps to thisproblem.

c. A firm is must choose to buy the GSU-3300 or the UGA-3000. Both machines make the firm's production process more efficient which in turn increases incremental cash flows. The GSU-3300 produces incremental cash flows of $24,048.00 per year for 8 years and costs $102,464.00. The UGA-3000 produces incremental cash flows of $27,915.00 per year for 9 years and cost $125,710.00. The firm's WACC is 9.90%. What is the equivalent annual annuity of the GSU-3300? Assume that there are no taxes. Please show an explanation or steps to this problem.

d. A firm is must choose to buy the GSU-3300 or the UGA-3000. Both machines make the firm's production process more efficient which in turn increases incremental cash flows. The GSU-3300 produces incremental cash flows of $24,030.00 per year for 8 years and costs $103,343.00. The UGA-3000 produces incremental cash flows of $27,763.00 per year for 9 years and cost $125,490.00. The firm's WACC is 7.15%. What is the equivalent annual annuity of the UGA-3000? Assume that there are no taxes. Please show an explanation or steps to this problem.

e. If you are willing to pay $21,626.00 today to receive a perpetuity with the first payment occurring next year then the payment must be $______. Assume a 6.00% discount rate.Please show an explanation or steps to this problem.

f. What is the value today of a money machine that will pay $2,876.00 per year for 24.00 years? Assume the first payment is made one year from today and the interest rate is 9.00%.Please show an explanation or steps to this problem.

g. Suppose you deposit $1,010.00 into an account 4.00 years from today that earns 11.00%. It will be worth $1,677.00 _____ years from today. Please show an explanation or steps to this problem.

h. Assume the real rate of interest is 3.00% and the inflation rate is 5.00%. What is the value today of receiving 10,632.00 in 15.00 years?Please show an explanation or steps to this problem.

i. Suppose you need to have $50,418.00 in an account 18.00 years from today and that the account pays 9.00%. How much do you have to deposit into the account 5.00 years from today?Please show an explanation or steps to this problem.

j. Suppose you deposit $1,002.00 into an account 7.00 years from today. Exactly 16.00 years from today the account is worth $1,470.00. What was the account's interest rate?Please show an explanation or steps to this problem.