The Manufacturer of a Light Fixture Believes That the Dollars

question 43

Essay

The manufacturer of a light fixture believes that the dollars spent on advertising,the price of the fixture and the number of retail stores selling the fixture in a particular month,influence the light fixture sales.The manufacturer randomly selects 10 months and collects the following data: The sales are in thousands of units per month,the advertising is given in hundreds of dollars per month,and the price is the unit retail price for the particular month.Using MINITAB the following computer output is obtained.
The regression equation is
Sales = 31.0 + 0.820 Advertising - 0.325 Price + 1.84 Stores S = 5.465 R - Sq = 96.7% R - Sq(adj)= 95.0%
Analysis of Variance Based on the multiple regression model given above,the point estimate of the monthly light fixture sales corresponding to second sample data is 49.82 or 49,820 units.This point estimate is calculated based on the assumption that the company spends $4000 on advertising,the price of the fixture is $60 and the fixture is being sold at 3 retail stores.Additional information related to this point estimate is given below. Determine the 95% confidence interval for this point estimate and interpret its meaning.

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Definitions:

Allocative Efficiency

Achieved when resources are distributed in a way that maximizes the net benefit to society, ensuring that each good is produced up to the point where the last unit provides a marginal benefit equal to the marginal cost of producing it.

Regulation Dilemma

The challenge of finding the balance between necessary government intervention in markets to correct failures and excessive regulation that may stifle competition and innovation.

Economic Profits

The excess of total revenues over the total costs, including both explicit and implicit costs, indicating the profitability beyond the normal return of investments.

Natural Monopoly

A market condition where a single supplier can provide a product or service at a lower cost than any potential competitor, often due to economies of scale.