Compute The Elasticities For Each Independent Variabl 820669

Compute the elasticities for each independent variable

The assignment requires calculating the elasticities of demand with respect to various independent variables in a regression model, using provided coefficients and specific values for the variables. Elasticity measures the responsiveness of quantity demanded to changes in price, income, advertising, or related product prices and is calculated as the percentage change in quantity demanded resulting from a 1% change in the independent variable.

Given the two models, the first with the regression equation:

QD = - P + 20PX + 5.2I + 0.20A + 0.25M (with standard errors and R2 provided)

and the second:

QD = -2P + 15A + 25PX + 10I

each with their own set of specified variable values, the calculation of elasticity utilizes the formula:

Elasticity (E) = (Coefficient of variable) * (Value of variable) / (Quantity demanded)

or alternatively, for demand elasticity with respect to a variable, sometimes simplified as:

E = (dQ/dX) * (X / Q)

where dQ/dX is the coefficient of the independent variable, X is its value, and Q is quantity demanded. In practice, because the regression coefficients in the models are provided, and specific variable values are known, the process involves substituting the numbers into the formula to compute E for each variable.

Implications for pricing strategies based on elasticity

Elasticity insights inform how a firm might adjust prices or other factors to optimize revenue or market share. For example, if demand is highly elastic (E > 1), lowering prices could lead to increased total revenue, whereas if demand is inelastic (E

Recommendation on pricing to increase market share

Based on the computed elasticities, the firm needs to evaluate whether to cut prices. If demand is elastic with respect to price, a reduction might increase total sales volume more than the loss in per-unit profit, leading to higher overall market share. Conversely, if demand is inelastic, price reductions might hurt revenue and profit margins. The recommendation depends on the elasticities’ magnitudes; high elasticities favor price cuts to gain market share, while low elasticities suggest maintaining prices or carefully targeted discounts.

Demand and supply plot with price changes

Assuming demand responds predictably to price changes from 100 to 600 cents, demand curves can be plotted by calculating quantities at each price point using the demand equation. The supply curve, given by Q = -7909.89 + 79.1P, can be plotted similarly at the same prices. These plots visually show the market equilibrium points where demand equals supply at each price level, assisting in identifying the equilibrium price and quantity.

The equilibrium occurs at the intersection point where the demand curve matches the supply curve. Solving the equations for each price provides the corresponding equilibrium quantity and price, allowing the firm to understand the optimal market conditions for the product.

Factors influencing demand and supply of low-calorie frozen microwavable food

Market dynamics depend on various factors: consumer tastes, health trends, income levels, competing products, advertising efforts, and technological advancements in food production. Short-term influences may include seasonal demand spikes or marketing campaigns, whereas long-term trends could involve shifts in health consciousness or demographic changes.

External factors like regulatory changes or raw material prices also significantly affect supply, impacting costs and production capacity. Understanding these factors helps anticipate shifts in the demand and supply curves, enabling better strategic planning for the company.

Factors causing shifts in demand and supply curves

Rightward shifts in demand may result from increased health awareness, better marketing, rising income levels, or favorable government policies promoting healthy eating. Leftward shifts could stem from health scares, economic downturns, or increased competition. For supply, rightward shifts often occur due to technological improvements, input cost reductions, or favorable subsidies, while leftward shifts may happen due to increased input prices, stricter regulations, or supply chain disruptions.

References

  • Berisha, V., Thaçi, X., Jashari, H., & Klinaku, S. (2013). Assessment of mathematics textbooks potential in terms of student’s motivation and comprehension. Journal of Education and Practice, 4(28).
  • Marshall, A. (1890). Principles of Economics. Macmillan.
  • Krugman, P. R., & Wells, R. (2018). Economics (5th ed.). Worth Publishers.
  • Mankiw, N. G. (2020). Principles of Economics (8th ed.). Cengage Learning.
  • Samuelson, P. A., & Nordhaus, W. D. (2010). Economics (19th ed.). McGraw-Hill Education.
  • Frank, R. H., & Bernanke, B. S. (2019). Principles of Economics (7th ed.). McGraw-Hill Education.
  • Perloff, J. M. (2017). Microeconomics (8th ed.). Pearson.
  • Hubbard, R. G., & O'Brien, A. P. (2018). Economics (6th ed.). Pearson.
  • Atkinson, A., & Mville, M. (2019). Economics for Managers. Routledge.
  • Shim, J. K., & Siegel, J. J. (2016). Financial Management. Barron’s Educational Series.

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