Questions: You work for a marketing firm that has just landed a contract with Run-of-the-Mills to help them promote three of their products: guppy gumdrops, frizzles, and mookies. All of these products have been on the market for some time, but, to entice better sales, Run-of-the-Mills wants to try a new advertisement that will market two of the products that consumers will likely consume together. As a former economics student, you know that complements are typically consumed together while substitutes can take the place of other goods. Run-of-the-Mills provides your marketing firm with the following data: When the price of guppy gumdrops decreases by 10%, the quantity of frizzles sold decreases by 9% and the quantity of mookies sold increases by 9%. Your job is to use the cross-price elasticity between guppy gumdrops and the other goods to determine which goods your marketing firm should advertise together. Complete the first column of the following table by computing the cross-price elasticity between guppy gumdrops and frizzles, and then between guppy gumdrops and mookies. In the second column, determine if guppy gumdrops are a complement to or a substitute for each of the goods listed. Finally, complete the final column by indicating which good you should recommend marketing with guppy gumdrops. Relative to Guppy Gumdrops Cross-Price Elasticity of Demand Complement or Substitute Recommend Marketing with Guppy Gumdrops Frizzles Mookies

You work for a marketing firm that has just landed a contract with Run-of-the-Mills to help them promote three of their products: guppy gumdrops, frizzles, and mookies. All of these products have been on the market for some time, but, to entice better sales, Run-of-the-Mills wants to try a new advertisement that will market two of the products that consumers will likely consume together. As a former economics student, you know that complements are typically consumed together while substitutes can take the place of other goods.

Run-of-the-Mills provides your marketing firm with the following data: When the price of guppy gumdrops decreases by 10%, the quantity of frizzles sold decreases by 9% and the quantity of mookies sold increases by 9%. Your job is to use the cross-price elasticity between guppy gumdrops and the other goods to determine which goods your marketing firm should advertise together.

Complete the first column of the following table by computing the cross-price elasticity between guppy gumdrops and frizzles, and then between guppy gumdrops and mookies. In the second column, determine if guppy gumdrops are a complement to or a substitute for each of the goods listed. Finally, complete the final column by indicating which good you should recommend marketing with guppy gumdrops.

Relative to Guppy Gumdrops Cross-Price Elasticity of Demand Complement or Substitute Recommend Marketing with Guppy Gumdrops

Frizzles Mookies
Transcript text: You work for a marketing firm that has just landed a contract with Run-of-the-Mills to help them promote three of their products: guppy gumdrops, frizzles, and mookies. All of these products have been on the market for some time, but, to entice better sales, Run-of-the-Mills wants to try a new advertisement that will market two of the products that consumers will likely consume together. As a former economics student, you know that complements are typically consumed together while substitutes can take the place of other goods. Run-of-the-Mills provides your marketing firm with the following data: When the price of guppy gumdrops decreases by $10 \%$, the quantity of frizzles sold decreases by $9 \%$ and the quantity of mookies sold increases by $9 \%$. Your job is to use the cross-price elasticity between guppy gumdrops and the other goods to determine which goods your marketing firm should advertise together. Complete the first column of the following table by computing the cross-price elasticity between guppy gumdrops and frizzles, and then between guppy gumdrops and mookies. In the second column, determine if guppy gumdrops are a complement to or a substitute for each of the goods listed. Finally, complete the final column by indicating which good you should recommend marketing with guppy gumdrops. Relative to Guppy Gumdrops Cross-Price Elasticity of Demand Complement or Substitute Recommend Marketing with Guppy Gumdrops Frizzles Mookies
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Solution

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Step 1: Calculate the Cross-Price Elasticity of Demand

Using the formula $CPE = \frac{\Delta Q_B}{\Delta P_A}$, where $\Delta Q_B$ is the percentage change in quantity demanded of product B and $\Delta P_A$ is the percentage change in price of product A. Given $\Delta P_A = -10\%$ and $\Delta Q_B = -9\%$, we calculate $CPE = \frac{-9}{-10} = 0.9$.

Step 2: Interpret the CPE value

Since $CPE > 0$, products A and B are substitutes. An increase in the price of product A leads to an increase in the quantity demanded of product B.

Step 3: Recommendation for marketing

Do not prioritize marketing substitutes together since they compete in the market.

Step 1: Calculate the Cross-Price Elasticity of Demand

Using the formula $CPE = \frac{\Delta Q_B}{\Delta P_A}$, where $\Delta Q_B$ is the percentage change in quantity demanded of product B and $\Delta P_A$ is the percentage change in price of product A. Given $\Delta P_A = -10\%$ and $\Delta Q_B = 9\%$, we calculate $CPE = \frac{9}{-10} = -0.9$.

Step 2: Interpret the CPE value

Since $CPE < 0$, products A and B are complements. An increase in the price of product A leads to a decrease in the quantity demanded of product B.

Step 3: Recommendation for marketing

Market products together that are complements, as they are typically consumed together.

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