subject
Mathematics, 27.03.2021 06:00 kallee10

A manufacturing company produces 3 different products A, B, and C. Three types of components, i. e., X, Y, and Z, are used in the production of these products. One unit of product A requires 2 units of X, 2 units of Y, and 2 units of Z. One unit of product B requires 1 unit of X, 3 units of Y, and 2 units of Z. One unit of product C requires 1 unit of X, 2 units of Y, and 3 units of Z. Currently, the company has no existing inventory of the components. The company can purchase X at the price of $20 per unit but no more than 300 units due to the supplier's limited capacity constraint. The company can purchase Y at the price of $30 per unit without any upper limit. The company can purchase Z at the full price of $25 per unit for the first 100 units but the per unit price drops to $20 for the remaining units if any i. e., the purchase quantity in excess of 100 units). The market prices of the three products are $200 for A, $240 for B and $220 for C. The company knows that the demand for products A, B, and Care equal to 100, 80, and 90 units, respectively. Therefore, the company should not produce more than the demand for each product. However, the company incurs a per unit penalty of $40 for any unsatisfied demand. The company needs to decide the component płarchase plan and the production mix decisions to maximize its profits subject to all the business constraints described above. Formulate the company's problem as an optimization problem, i. e., providing the mathematical expressions for the decision variables, the objective function, and the constraints.

ansver
Answers: 3

Another question on Mathematics

question
Mathematics, 21.06.2019 19:00
What are the solutions of the system? solve by graphing. y = -x^2 -6x - 7 y = 2
Answers: 2
question
Mathematics, 21.06.2019 21:50
What is the product? a-3/15a × 5/a-3
Answers: 1
question
Mathematics, 22.06.2019 00:50
Astudent is determining the influence of different types of food on the growth rate of spiders. she feeds one group of spiders two caterpillars twice a week. the other group received similarly-sized beetles twice a week. she records the amount of time required for individuals to reach sexual maturity. her hypothesis is that the spiders feeding on caterpillars will have a faster growth rate because caterpillars have a higher protein content compared to beetles. in this experiment, what is the dependent variable? spiders assigned to different feeding groups. time required to reach sexual maturity number of prey items fed twice a week. growth rates of each group.
Answers: 2
question
Mathematics, 22.06.2019 01:40
Which of these statements is correct? the system of linear equations 6x - 5y = 8 and 12x - 10y = 16 has no solution. the system of linear equations 7x + 2y = 6 and 14x + 4y = 16 has an infinite number of solutions. the system of linear equations 8x - 3y = 10 and 16x - 6y = 22 has no solution. the system of linear equations 9x + 6y = 14 and 18x + 12y = 26 has an infinite number of solutions.
Answers: 2
You know the right answer?
A manufacturing company produces 3 different products A, B, and C. Three types of components, i. e.,...
Questions
question
Mathematics, 29.10.2019 18:31
question
Mathematics, 29.10.2019 18:31
question
Mathematics, 29.10.2019 18:31