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Consider a soft (cola) drinks market where two firms-Firm A and Firm B-compete for market shares given by the multinomial logit (MNL) functions below: and
Consider a soft (cola) drinks market where two firms-Firm A and Firm B-compete for market shares given by the multinomial logit (MNL) functions below: and B = Price of Firm A HA= $1.00 1 $2.00 e -0.2-PA -0.2.PA+-BPB where A and B respectively denote the market shares of Firms A and B when its corresponding products are priced at p and p; moreover, price sensitivity parameter for Firm B's customers, i.e, bB, is unknown to you-Firm A's marketing/pricing specialist. However, your past marketing/pricing data suggest that be is between 0.2 and 0.8. e a) Using the data set given in the table below, determine the value of bg. [Select] Price of Firm B --bBPA e-0.2-PA+e-BPB' $1.00 $2.00 Market Share of Firm A Market Share of Firm B 62.25% 73.11% 37.75% 26.89% Table: Market shares of Firms A and B under two different price combination b) As a newly hired marketing/pricing manager of Firm A, your goal is to increase your market share up to 80% when both firms price the product at $2.50. You decide to launch a new marketing/branding campaign to improve the product awareness and brand loyalty of your product, and thereby reduce the value of b to increase the market share (). What is the target value of b that takes your firm's market share to 80%? [Select]
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