A local store estimates its typical customer's inverse demand is P=6.07−2.1Q, and it knows the marginal cost of each rental is $0.64. How much will they sell to each customer it engages in optimal two-part pricing? (use decimals) Answer:

Answers

Answer 1
Answer: To find the optimal quantity to sell to each customer in a two-part pricing strategy, we need to calculate the quantity at which marginal cost equals the marginal revenue. In this case, the marginal cost is given as $0.64 and the inverse demand equation is \(P = 6.07 - 2.1Q\).

Marginal cost (\(MC\)) equals marginal revenue (\(MR\)) when the quantity (\(Q\)) sold to each customer is such that \(MC = MR\).

Given that \(MC = 0.64\), we need to solve for \(Q\) when \(MR = P\):

\[MR = P\]
\[MR = 6.07 - 2.1Q\]

Set \(MC\) equal to \(MR\):

\[0.64 = 6.07 - 2.1Q\]

Now, solve for \(Q\):

\[2.1Q = 6.07 - 0.64\]
\[Q = \frac{6.07 - 0.64}{2.1}\]

Calculate the value of \(Q\) to find the optimal quantity to sell to each customer:

\[Q \approx 2.559\]

So, the store will sell approximately 2.559 units to each customer in optimal two-part pricing.
Answer 2
Answer:

Final answer:

The store will sell approximately 2.586 units to each customer it engages in optimal two-part pricing.

Explanation:

To determine the optimal quantity to sell to each customer using two-part pricing, we need to maximize the store's profit. The profit can be calculated as the difference between the total revenue and the total cost.

The total revenue is given by the product of the price (P) and the quantity sold (Q):

Total Revenue = P * Q

The total cost is the sum of the fixed cost (the fixed fee) and the variable cost (the variable fee based on the quantity sold). In this case, the fixed cost is not given, so we can assume it to be zero.

The variable cost is the product of the marginal cost per rental and the quantity sold:

Variable Cost = Marginal Cost * Q

To maximize profit, we need to find the quantity that maximizes the difference between total revenue and total cost.

Let's differentiate the profit function with respect to Q and set it equal to zero to find the critical point:

d(Profit)/dQ = d(Total Revenue)/dQ - d(Total Cost)/dQ = 0

Since the fixed cost is assumed to be zero, the derivative of the total cost with respect to Q is equal to the derivative of the variable cost with respect to Q, which is the marginal cost:

d(Total Cost)/dQ = Marginal Cost

Now, let's differentiate the total revenue function with respect to Q:

d(Total Revenue)/dQ = d(P * Q)/dQ = P

Setting the derivative of profit equal to zero:

P - Marginal Cost = 0

Substituting the given values:

6.07 - 2.1Q - 0.64 = 0

Simplifying the equation:

5.43 - 2.1Q = 0

Subtracting 5.43 from both sides:

-2.1Q = -5.43

Dividing both sides by -2.1:

Q = 2.586

Therefore, the optimal quantity to sell to each customer using optimal two-part pricing is approximately 2.586.

Learn more about optimal two-part pricing here:

brainly.com/question/17464264

#SPJ14


Related Questions

What is the relationship between triple bottom line and social responsibility
A primary feature of the "the mix" is anything for which one can lose: earned time good time family time probation time parole time
José, the sales manager for a software development firm, is working on the problem of increasing sales by using the rational model of decision making. In the first step he identified the problem of his employees needing more training. In the second step he thought of alternative solutions; and in the third step he evaluated alternatives and selected a solution. José needs to _____ in the fourth and final step.
Suppose the Federal Reserve engages in open-market operations. It sells $20 billion in U.S. securities. It also raises the reserve ratio. This causes excess reserves to _______, the money supply to ________, and the money multiplier to ________.a. decrease; decrease; decreaseb. decrease; increase; increasec. increase; increase; increased. increase; decrease; decrease
How do individuals & business benefit fromeconomic freedom?

A tariff is a tax on exported goods.
a. True
b. False

Answers

FALSE. A tariff is NOT a tax on EXPORTED GOODS. 

It is a tax on imported goods. Tariffs and quotas are imposed on imported goods not only to increase the revenue of the country but to also protect domestic companies in the same industry as the importers.


Which of the following is an example of secondary research? A. Observing reactions to free samples B. Gathering statistics online C. Hiring a marketing firm D. Conducting trial-and-error testing

Answers

Gathering statistics online is an example of conducting the secondary research. Hence, option B is correct.

What do you mean by Secondary Research?

Secondary research mainly talks about the research involvement and coalition or the synthesis of existing research. Secondary research is beneficial nowadays for students. Especially those who are working continuously for their doctorate degrees or Mphil degrees. Since, the availability of Secondary Research is so in abundance, researching any particular thing is not a problem.

Secondary research mainly uses the data of the primary research which later helps in the building of the Secondary research. It helps in the data of analysis of a particular product.

Some examples of Secondary research which help in the success of the research are textbooks, meta-analysis, as well as the bringing of the newly taken review articles, which are also taken into consideration. Hence option B is correct.

Learn more about Secondary Research here:

brainly.com/question/28284429

#SPJ2

Which of the following is an example of secondary research?

A. Observing reactions to free samples

B. Gathering statistics online

C. Hiring a marketing firm

D. Conducting trial-and-error testing

The answer is, B. Gathering statistics online.

Which is usually the best way to present or communicate inferred data?in a bar graph
in a data table
in a simple diagram
in a written paragraph

Answers

D. in a written paragraph

Answer:

paragraph

Explanation:

How can officers in the armed services receive college educations?

Answers

One of the ways armed-service members can get a college education is through the GI Bill.

The Commerce Ministry of a country conducts regular surveys on goods and services sold within the country. Researchers at the Ministry study consumer behavior through the choices the consumers make while deciding what to buy. Their report on the industry for beverages last year indicated that the price elasticity of demand for fruit juices in the country was​ -0.8, while the price elasticity of demand for a particular brand called Fruit Drops was​-1.2. According to the​ report, an average consumer spends about 1 percent of his monthly income on fruit juices. A student of​economics, Julio, however feels that the current price elasticity of demand for Fruit Drops is actually higher than​ -1.2, based on his own experience in purchasing fruit juices.   Which of the​following, if​ true, would support​ Julio's view that the price elasticity of demand for Fruit Drops is​ higher?A. The average income level of consumers has increased this year as compared to last year.B. The company that manufactures Fruit Drops also produces a variety of other goods.C. Three new brands have been introduced in the market for fruit juices in the last month.D. The management of one of the leading competitors of Fruit Drops was recently accused of manipulating profit figures.E. Fruit Drops is a very popular brand of fruit juice in this country.

Answers

Answer:

The correct option is C.

Explanation: Price elasticity is the measure of the rate of change in the level of quantity demanded due to a change in the level of price.

Price elasticity is usually negative, this means that it follows the law of demand; as price increases quantity demanded decreases.

Also, another incidence that can affect price elasticity is an availability of cheaper alternatives. If cheaper alternatives of a particular product are introduced into the market, the demand for that product will reduce, because consumers will abandon it for its cheaper alternatives, thereby driving the elasticity of that product higher.

Therefore, in the scenario given above, the elasticity is higher than -1.2 because there are new brands that have just been introduced into the market.

1. What effect does a rise in the cost of machinery or raw materials have on the cost of a good?
a) A rise in the cost of raw materials (but not machinery) raises the cost. 
b) The good becomes cheaper to produce.
c) The good becomes more expensive to produce.
d) It does not have any effect on the cost of the good.
2.
What does new technology generally do to production?
a) It lowers cost and decreases supply.
b) It lowers cost and increases supply.
c) It increases cost and decreases supply.
d) It has very little effect on production.
Could you please help me with these questions?

Answers

1.       With the rise in the cost of machinery or raw materials, the good becomes more expensive to produce. So the correct option for this question is option “c”. The cost of machinery and raw materials are directly proportional to the increase in cost of any goods.
2.      
The introduction or advent of new technology lowers cost and increases supply. So for this question the correct option is “b”. New technology always helps to increase the production with lowering of cost and that is the reason behind adopting new technology.




Answer:

b) It lowers cost and increases supply.

Explanation:

Other Questions