a business that manufactures small alarm clocks has weekly fixed costs of $4500. the average cost per clock…

a business that manufactures small alarm clocks has weekly fixed costs of $4500. the average cost per clock for the business to manufacture x clocks is described by $\frac{0.6x + 4500}{x}$. a. find the average cost when x = 100, 1000, and 10,000. b. like all other businesses, the alarm clock manufacturer must make a profit. to do this, each clock must be sold for at least 50¢ more than what it costs to manufacture. due to competition from a larger company, the clocks can be sold for $1.50 each and no more. our small manufacturer can only produce 2000 clocks weekly. does this business have much of a future? explain. o a. no, the average cost to produce 2000 alarm clocks is much greater than the selling price of the alarm clocks. o b. no, the average cost to produce 2000 alarm clocks is much less than the selling price of the alarm clocks. o c. yes, the average cost to produce 2000 alarm clocks is much less than the selling price of the alarm clocks. o d. yes, the average cost to produce 2000 alarm clocks is much greater than the selling price of the alarm clocks.

a business that manufactures small alarm clocks has weekly fixed costs of $4500. the average cost per clock for the business to manufacture x clocks is described by $\frac{0.6x + 4500}{x}$. a. find the average cost when x = 100, 1000, and 10,000. b. like all other businesses, the alarm clock manufacturer must make a profit. to do this, each clock must be sold for at least 50¢ more than what it costs to manufacture. due to competition from a larger company, the clocks can be sold for $1.50 each and no more. our small manufacturer can only produce 2000 clocks weekly. does this business have much of a future? explain. o a. no, the average cost to produce 2000 alarm clocks is much greater than the selling price of the alarm clocks. o b. no, the average cost to produce 2000 alarm clocks is much less than the selling price of the alarm clocks. o c. yes, the average cost to produce 2000 alarm clocks is much less than the selling price of the alarm clocks. o d. yes, the average cost to produce 2000 alarm clocks is much greater than the selling price of the alarm clocks.

Answer

Explanation:

Step1: Calculate average cost for part a

For $x = 100$: Substitute $x = 100$ into $\frac{0.6x + 4500}{x}$, we get $\frac{0.6\times100+4500}{100}=\frac{60 + 4500}{100}=\frac{4560}{100}=45.6$. For $x = 1000$: Substitute $x = 1000$ into $\frac{0.6x + 4500}{x}$, we get $\frac{0.6\times1000+4500}{1000}=\frac{600+4500}{1000}=\frac{5100}{1000}=5.1$. For $x = 10000$: Substitute $x = 10000$ into $\frac{0.6x + 4500}{x}$, we get $\frac{0.6\times10000+4500}{10000}=\frac{6000 + 4500}{10000}=\frac{10500}{10000}=1.05$.

Step2: Calculate average cost for $x = 2000$ in part b

Substitute $x = 2000$ into $\frac{0.6x + 4500}{x}$, we get $\frac{0.6\times2000+4500}{2000}=\frac{1200 + 4500}{2000}=\frac{5700}{2000}=2.85$. Since the selling - price is $1.50$ and the average cost of producing 2000 clocks is $2.85$, the average cost is much greater than the selling price.

Answer:

a. When $x = 100$, the average cost is $45.6$; when $x = 1000$, the average cost is $5.1$; when $x = 10000$, the average cost is $1.05$. b. A. No, the average cost to produce 2000 alarm clocks is much greater than the selling price of the alarm clocks.