I am working on this exercice, have answered questions a and b but am blocked for c and d Any tip or advice please. Thank you in advance. 2. (15) Suppose you manage a business that produces high end dog food. Your business produces 3,000 dog food cans per day, and can sell all cans at $2.00/can regardless of how much is produced. Your firm currently employs 20 workers, each of whom earns $15/hour and work 8 hours per day. Inputs, like the meat for the food and the metal for the can, cost $1.00/can. Your overhead expenses, including rent, property taxes, insurance, etc., which doesnotvary with the number of cans produced, equals $250 per day.

1. (3) Calculate your company's current daily profit.

Profit = Revenue - Expense

R = 2 * 3,000

R = $6,000

Expense = 250 + (20 * 15 * 8 ) + 1 * 3,000

Expense = 250 + 2,400 + 3,000

Expense = $5,650

Profit = Revenue - Expense

Profit = $350/day

You're considering whether to produce additional cans of dog food.In order to do so you would need to hire more workers, each of whom would be paid $15/hr. Material costs remain constant at $1.00/can. You determine that if you hire a 21^st employee, your firm would produce an additional 200 cans per day, and that the number of additional cans from each additional worker would be decreasing by 40 (so a 22^nd employee could produce an additional 160 cans per day, a 23^rd employee could produce an additional 120 cans per day, etc.).

1. (5) Calculate the marginal costs (change to total cost/change to output) associated with producing additional cans for employees 21 through 25. Note each worker works 8 hours/days.

If we consider MC as marginal cost, TC as total cost and Q as quantity produced, then

MC =TC/Q

TC₂₀ =$5,650 (from previous question)

TC₂₁= 250 + (21 * 15 * 8) + 1*(3,000+200)

TC₂₁= $5,970

TC₂₂= 250 + (22 * 15 * 8) + 1*(3,200+160)

TC₂₂= $6,250

TC₂₃= 250 + (23 * 15 * 8) + 1*(3,360+120)

TC₂₃= $6,490

TC₂₄= 250 + (24 * 15 * 8) + 1*(3,480+80)

TC₂₄= $6,690

TC₂₅= 250 + (25 * 15 * 8) + 1*(3,560+40)

TC₂₅= $6,850

We can establish Q₂₁ as number of output with 21 workers, Q₂₂ respectively etc to Q₂₅ as follows:

Q₂₀ = 3,000

Q₂₁ = 3,200

Q₂₂ = 3,360

Q₂₃ = 3,480

Q₂₄= 3,560

Q₂₅= 3,600

We can now calculate the MC following the formulaMC =TC/Qwith MC₂₁ for 21 workers etc.

MC₂₁ = (TC₂₁ - TC₂₀) / (Q₂₁-Q₂₀)

MC₂₁ = (5,970 - 5,650) / (3,200 - 3,000)

MC₂₁ = 320 / 200

MC₂₁ = $1.6

MC₂₂ = (6,250 - 5,970) / (3,360 - 3,200)

MC₂₂ = $1.75

MC₂₃ = (6,490 - 6,250) / (3,480 - 3,360)

MC₂₃ = $2.0

MC₂₄ = (6,690 - 6,490) / (3,560 - 3,480)

MC₂₄ = $2.5

MC₂₅ = (6,850 - 6,690) / (3,600 - 3,560)

MC₂₅ = $4.0

c. (3) If you could still sell each can for $2.00, how many employees should you hire, how many additional cans should you produce, and what is your company's new daily profit?

d. (3) Suppose your company's fixed costs were $300 per day instead of $250 per day. What is the profit maximizing number of employees and what is your company's daily profit?