A- A company is planning to introduce two new products: A and B. It is estimated that the price of product A and B are 300 and 500 S, respectively. It also estimated that the cost of product A is 180$ per unit, and the cost of product b IS 200$ per unit, plus additional cost of 500000 S. In competitive market the number of sales will affect the sales price. It is estimated that for each product, the sales price drops by one cent for each additional unit a sold. Furthermore, sales of the product will affect sales of product B and vice versa. It is estimated that the price for the product A will reduced by an additional 0.1 cents for each product B sold and the price for product B will decrease for by 0.3 cent for each of product A sold. Formulate the given problem to maximize the profit of the сompany?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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A- A company is planning to introduce two new products: A and B. It is estimated that the
price of product A and B are 300 and 500 S, respectively. It also estimated that the cost
of product A is 180OS per unit, and the cost of product b IS 200S per unit, plus additional
cost of 500000 S. In competitive market the number of sales will affect the sales price. It
is estimated that for each product, the sales price drops by one cent for each additional
unit a sold. Furthermore, sales of the product will affect sales of product B and vice
versa. It is estimated that the price for the product A will reduced by an additional 0.1
cents for each product B sold and the price for product B will decrease for by 0.3 cent
for each of product A sold. Formulate the given problem to maximize the profit of the
company?
Transcribed Image Text:A- A company is planning to introduce two new products: A and B. It is estimated that the price of product A and B are 300 and 500 S, respectively. It also estimated that the cost of product A is 180OS per unit, and the cost of product b IS 200S per unit, plus additional cost of 500000 S. In competitive market the number of sales will affect the sales price. It is estimated that for each product, the sales price drops by one cent for each additional unit a sold. Furthermore, sales of the product will affect sales of product B and vice versa. It is estimated that the price for the product A will reduced by an additional 0.1 cents for each product B sold and the price for product B will decrease for by 0.3 cent for each of product A sold. Formulate the given problem to maximize the profit of the company?
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