This is the case for economies of scale. When Charles produce 1 bottle of water, it costs him $1 per bottle, when 8 bottles are produced it costs him $7. The cost per bottle of water reduces as units increases.

3 0

2 years ago

A company estimates that the revenue (in dollars) from the sale of x doghouses is given by R(x)=14,000ln(0.01x+1). Use the diffe

melamori03 [73]

Answer: The change in revenue for the sale of 1 more doghouse $ 66.67 dollars

Explanation: Differential is a function that can be used to approximate function value with a great degree of accuracy. This is done by the following.

Mathematical definition of derivative: f'(x) = lim f(x+Δx) - f(x)/Δx.

If Δx is very small:

f'(x) . Δx ≅ f(x+Δx) - f(x)

Knowing that Δy ≅ f(x+Δx) - f(x) and the diferential of variable x can be written by dx as the variable y can be dy:

dy = f'(x) dx

which means that the differential dy is approximately equal to the change Δy, if Δx is very small.

For the question, R(x) = y(x) = 14,000ln(0.01x+1)

f'(x) = $\frac{d[14,000.ln(0.01x+1)]}{dx}$

Using the chain rule, the derivative will be:

f'(x) = 14,000. $\frac{0.01}{0.01x+1}$

dy = 14,000. $\frac{0.01}{0.01x+1}$ .dx

dx is the change in x. For the question, the change is 1 (1 more doghouse) and x is 110:

dy = 14,000 $\frac{0.01}{0.01.110+1}.1$

dy = $\frac{140}{2.1}$

dy = 66.67

The change in revenue is $66.67 dollars.

5 0

3 years ago

The Daniel and Kim Lee filed a joint return for 2019. They provide more than 50% of the support of Carla, Ellie, and Albert. Car

lapo4ka [179]

Answer:

don't know how to help you with your answer sssssorryyyyyyy

4 0

2 years ago

Nico is meeting with his academic adviser. He wishes to pursue a career where he'll work to diagnose and treat mental disorders.

Arturiano [62]

Answer:

clinical psychologists

Explanation:

According to my research on different fields of psychology, I can say that based on the information provided within the question Nico aspires to be a clinical psychologists. This is a branch of psychology that focuses on diagnosing and treating mental, emotional, and behavioral disorders on different individual in order to help them by diagnosing and providing a solution.

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

5 0

3 years ago