Demand Forecasting & Cost Analysis Assignment

Applied Economics – Demand Forecasting & Cost Analysis Assignment

SMS Pte Ltd is a Singapore-based firm selling premium ceramic mugs. The firm wants you to help them understand demand, forecast future prices, estimate cost behavior, and evaluate output decisions. In the Excel template, you are provided with quarterly data covering 2018 to 2025.

  1. (1) Estimate the linear demand function using all the variables given in the dataset. Present the regression equation and results.
    (2) Given that Income=$60,000, Price of related good=$50 and Population=1,000,000, express the demand equation as a function of price. Round all coefficients to the nearest whole number.
  2. (1) Estimate a price forecasting model that incorporates both a time trend and seasonal effects. Discuss whether there is a clear time trend and seasonal variation in price.
    (2) Using your estimated model, forecast the price for the next period, 2026 Q1.
    (3) Evaluate the reliability of your forecast. In your answer, refer to model fit, statistical significance, and any potential limitations. 
  3. Estimate the real average variable cost function. You must estimate the specific functional form discussed in class for the average cost function. Round all coefficients to two decimal places (2 d.p.).
  4. (1) Estimate the price elasticity of demand and cross-price elasticity, assuming constant elasticity.
    (2) Using your estimated elasticities, discuss which market structure is consistent with your result.
  5. Determine the profit-maximizing level of output for this firm in 2026 Q1, assuming it operates in the market structure you specified in your answer to the previous question. To find the profit-maximizing level of output, you can use the Goal Seek function in Excel. A brief guide for using Goal Seek to find the output level is provided in the next page.
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Expert Answers on Above Economics Assignment

Linear Demand Function

Estimation – Qd​=β0​+β1​P+β2​Y+β3​Pr​+β4​Pop+ε
In the above estimation, the price is expected negative while the income is expected positive. The population is positive and the related good price is indicated by the sign.

Demand as a function of price

The income given is 60000 and the related price is 50 and the population is 1000000. The result is Qd=a+bP

Price forecasting model

The model is given as – Pt​=α+βt+γ1​Q1+γ2​Q2+γ3​Q3+ε

Forecast for Q1 of 2026

Plug – next time period (t value) and Q1 dummy = 1

Reliability

With R2 being higher is considered a better fit and p value less than 0.05 is considered as significant. The major limitations are the small data set, structural changes, and no consideration for external shocks.

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Economics assignment involving the estimation of linear demand function, a price forecasting model or calculating the price elasticity of demand requires core economics expertise. If you need detailed answers to the above economics questions, visit our economics assignment help online page to get support from a professional economics expert.

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