Question

Assignment Chapter 13 – Curve Sketching and Applied Maxima and Minima 1. A function f given by : f(x) = x^3 – 3x + 2 find: a. Critical values b. Relative Extrema (increasing, decreasing) c. Inflections Point d. Concavity e. Sketch the graph 2. The demand equation for a monopolist’s product is P = 600 – 2q And the total-cost function is C = 0.2q^2 + 28q + 200 a. Find the profit-maximizing output and price then determine the corresponding profit. b. If the government were to impose a tax of $22 per unit on the manufacturer, what would be the new profit-maximizing output and price? What is the profit now? 3. A manufacturer has to produce 3000 units annually of a product that is sold at a uniform rate during the year. The production cost of each unit is $12, and carrying costs (insurance, interest, storage, etc) are estimated to be 19.2% of the value of a average inventory. Setup costs per production run are $54. Find the economic lot size.

          Assignment
Chapter 13 – Curve Sketching and Applied Maxima and Minima

1. A function f given by :
f(x) = x^3 – 3x + 2
find:
a. Critical values
b. Relative Extrema (increasing, decreasing)
c. Inflections Point
d. Concavity
e. Sketch the graph

2. The demand equation for a monopolist’s product is
P = 600 – 2q
And the total-cost function is
C = 0.2q^2 + 28q + 200
a. Find the profit-maximizing output and price then determine the corresponding profit.
b. If the government were to impose a tax of $22 per unit on the manufacturer, what would be the new profit-maximizing output and price? What is the profit now?

3. A manufacturer has to produce 3000 units annually of a product that is sold at a uniform rate during the year. The production cost of each unit is $12, and carrying costs (insurance, interest, storage, etc) are estimated to be 19.2% of the value of a average inventory. Setup costs per production run are $54. Find the economic lot size.

Assignment
Chapter 13 – Curve Sketching and Applied Maxima and Minima

1. A function f given by :
f(x) = x^3 – 3x + 2
find:
a. Critical values
b. Relative Extrema (increasing, decreasing)
c. Inflections Point
d. Concavity
e. Sketch the graph

2. The demand equation for a monopolist’s product is
P = 600 – 2q
And the total-cost function is
C = 0.2q^2 + 28q + 200
a. Find the profit-maximizing output and price then determine the corresponding profit.
b. If the government were to impose a tax of 22 per unit on the manufacturer, what would be the new profit-maximizing output and price? What is the profit now?

3. A manufacturer has to produce 3000 units annually of a product that is sold at a uniform rate during the year. The production cost of each unit is12, and carrying costs (insurance, interest, storage, etc) are estimated to be 19.2% of the value of a average inventory. Setup costs per production run are $54. Find the economic lot size.

Added by Michael W.

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