Unit cost do not round the answer

The minimum unit cost is $59,765.50.

Explanation:

C(x) = 0.5x² - 320x + 60,085 where C is the unit cost and x is the number of cars made. Depending on the value of x, C also varies. The higher the value of x, the higher the value of C will be.To calculate the minimum unit cost, we must calculate C(x) when x is of minimum value. The minimum value of x will be 1. So we substitute x = 1 in the given equation C(x) to calculate the minimum unit cost.C(x) = 0.5x² - 320x + 60,085, so when x = 1,                                         C(1) = 0.5 (1²) - 320 (1) + 60,085 = 0.5 - 320 + 60,085 = 60,085.50 - 320 = $59,765.50.

k = 1

P(t) = (t + 20)²

Step-by-step explanation:

P' = k√P = k P⁰•⁵

To solve for k,

P' = 10 rabbits/month

P = 100 rabbits

10 = k √100

10 = 10k

k = 1

To solve for P(t)

P' = dP/dt

(dP/dt) = kP⁰•⁵

dP/P⁰•⁵ = k dt

P⁻⁰•⁵ dP = k dt

∫ P⁻⁰•⁵ dP = ∫ k dt

2P⁰•⁵ = kt + c

At t = 0, P = 100

2(100)⁰•⁵ = 0 + c

2 × 10 = c

c = 20

2P⁰•⁵ = kt + c

2P⁰•⁵ = kt + 20

Recall, k = 1

2P⁰•⁵ = t + 20

P⁰•⁵ = (t + 20)

P(t) = (t + 20)²