A company manufactures x units of Product A and y units of Product B, on two machines, I and II. It has been determined that the company will realize a profit of $2/unit of Product A and a profit of$4/unit of Product B. To manufacture a unit of Product A requires 6 min on Machine I and 5 min on Machine II. To manufacture a unit of Product B requires 9 min on Machine I and 4 min on Machine II.There are 5 hr of machine time available on Machine I and 3 hr of machine time available on Machine II in each work shift. How many units of each product should be produced in each shift tomaximize the company's profit?C(x, y) =What is the optimal profit? (Round your answer to the nearest whole number.)$

let's consider the constraints on the values for x and y: x≥0 and y≥0 since product produced can…

Answered: Units of Product A and y units of…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A company produces two types of hand soaps: a solid and a liquid soap. The cost of production for a solid soap is 10 cents per soap and 20 cents for the liquid soap. The company developed a model that predicts how many units x1 (of the solid soap), and x2 (of the liquid soap) they will sell per month. According to the model, the amount of units sold depends on the prices p1,p2 (in dollars) of solid and liquid soap through the equations ( see attached for equation) Set up a function to describe how the total profit (revenue - costs) depends on the unit prices p1 and p2.
Please provide me a step by step solution And which option is correct
The total cost function for a product is C = 3x2 + 59x + 243. How many units must be produced to minimize average cost?
A machine puts golf balls into boxes and then loads the boxes into cases. The machine is normally able to load 25 cases of golf balls per hour. There are 20 boxes in one case. There are 12 balls in one box. Today, the machine is running a little faster than usual so that it takes 0.2 seconds less time to load one golf ball into a box than it normally does. What is the machine's new rate in cases of golf balls per hour!
A plane carrying food and water to a resort island can carry a maximum of 2700027000 pounds and is limited in space to carrying no more than 550550 cubic feet. Each container of water weighs 6060 pounds and takes up 11 cubic foot of cargo space. Each container of food weighs 150150 pounds and takes up 55 cubic feet. Hotels on the island will buy the food for 1919 dollars a pound and the water for 55 dollars per pound. What is the optimum number of containers of each item that will maximize the revenue generated by the plane? What is the maximum revenue? Let x represent the number of food containers and y represent the number of water containers.
Prime Paints manufactures two types of paints, one for interior painting and the other for exterior painting. Both types require the use of two raw materials - M1 and M2, so that the maximum daily availabilities of these materials are 24 tons and 6 tons, respectively. It is known that 1 ton of the interior type of paint requires 4 tons of M1 and 2 tons of M2. On the other hand, 1 ton of the exterior type of paint requires 6 tons of M1 and 1 ton of M2. It has been established that the daily demand for interior paint cannot exceed that for the exterior paint by more than 1 ton. Also, the maximum daily demand for interior paint is 2 tons. The company wants to determine the optimum product mix of interior and exterior paints to maximize the total daily profit given that the profit per ton of the interior paint is 4 thousand dollars and the profit per ton of the exterior paint is 5 thousand dollars.
A company operates two plants which manufacture the same item and whose total cost functions are C1=7+0.02q 21 and C2=4.4+0.03q 21, where q1 and q2 are the quantities produced by each plant. The total quantity demanded, q=q1+q2 , is related to the price, p , by p=60−0.03q. How much should each plant produce in order to maximize the company's profit? q1= q2=

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