The American Baker’s Association reports that annual sales of bakery goods last year rose 15 percent, driven by a 50 percent increase in the demand for bran muffins. Most of the increase was attributed to a report that diets rich in bran help prevent certain types of cancer. You are the manager of a bakery that produces and packages gourmet bran muffins, and you currently sell bran muffins in packages of three. However, as a result of this new report, a typical consumer’s inverse demand for your bran muffins is now P = 10 - 2Q. If your cost of producing bran muffins is C(Q) = 2.0Q, determine the optimal number of bran muffins to sell in a single package and the optimal package price.
Instruction: Enter your response for the optimal package price rounded to two decimal places.
Optimal package size: units
Optimal package price: $
Solution:
We are given the new demand function as: P = 10 - 2Q
Then, total revenue = price*quantity
TR = (10 - 2Q)*Q
TR = 10Q - 2Q2
Then, marginal revenue, MR = dTR/dQ
MR = 10 - 2*2Q so, MR = 10 - 4Q
Cost function is given as C(Q) = 2.0*Q
So, marginal cost = dC(Q)/dQ = 2
Optimal quantity occurs where MR = MC
So, 10 - 4Q = 2
Q = (10 - 2)/4 = 2
And, corresponding price is P = 10 - 2*2 = $6
So, optimal package is 2 units (or now sales would be bran muffin package of two), and optimal price per package is $6.
The American Baker’s Association reports that annual sales of bakery goods last year rose 15 percent,...
The American Baker’s Association reports that annual sales of bakery goods last year rose 15 percent, driven by a 50 percent increase in the demand for bran muffins. Most of the increase was attributed to a report that diets rich in bran help prevent certain types of cancer. You are the manager of a bakery that produces and packages gourmet bran muffins, and you currently sell bran muffins in packages of three. However, as a result of this new report,...
The American Baker’s Association reports that annual sales of bakery goods last year rose 15 percent, driven by a 50 percent increase in the demand for bran muffins. Most of the increase was attributed to a report that diets rich in bran help prevent certain types of cancer. You are the manager of a bakery that produces and packages gourmet bran muffins, and you currently sell bran muffins in packages of three. However, as a result of this new report,...
The American Baker’s Association reports that annual sales of bakery goods last year rose 15 percent, driven by a 50 percent increase in the demand for bran muffins. Most of the increase was attributed to a report that diets rich in bran help prevent certain types of cancer. You are the manager of a bakery that produces and packages gourmet bran muffins, and you currently sell bran muffins in packages of three. However, as a result of this new report,...
1. The American Baker’s Association reports that annual sales of bakery goods last year rose 15 percent, driven by a 50 percent increase in the demand for bran muffins. Most of the increase was attributed to a report that diets rich in bran help prevent certain types of cancer. You are the manager of a bakery that produces and packages gourmet bran muffins, and you currently sell bran muffins in packages of three. However, as a result of this new...
CAICO Dana in the demand for bran muffins. Most of the increase was attributed to a report that diets rich in bran help prevent certain types of cancer. You are the manager of a bakery that produces and packages gourmet bran muffins, and you currently sell bran muffins in packages of three. However, as a result of this new report, a typical consumer's inverse demand for your bran muffins is now P=6 -0.50 points If your cost of producing bran...
SYNOPSIS The product manager for coffee development at Kraft Canada must decide whether to introduce the company's new line of single-serve coffee pods or to await results from the product's launch in the United States. Key strategic decisions include choosing the target market to focus on and determining the value proposition to emphasize. Important questions are also raised in regard to how the new product should be branded, the flavors to offer, whether Kraft should use traditional distribution channels or...