Production PlanEnergy Savers, Inc., produces heaters of types S and L. The wholesale price is $40 per heater for S and $88 forL. Two time constraints result from the use of two machines M₁ and M₂. On M₁ one needs 2 min for an S heaterand 8 min for an L heater. On M₂ one needs 5 min for an S heater and 2 min for an L heater. Determine productionfigures.x₁ and x₂ for S and L, respectively (number of heaters produced per hour), so that the hourly revenuez = f(x) = 40x₁ +88x2is maximum.

The linear function(cost function or the profit function etc.) that needs to be optimized(maximize…

Answered: Energy Savers, Inc., produces heaters…

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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Question 4 Maggie works at a very popular freshly squeezed lemonade stand on a beach that sells regular lemonade and strawberry lemonade. To make a glass of regular lemonade it takes 4 whole lemons. To make a glass of strawberry lemonade it takes 3 whole lemons and 2 average sized strawberries. The owners figured they have a budget so that each morning a truck delivers 900 lemons to the stand and 408 strawberries to the stand. On each glass of regular lemonade, a profit of R1,95 is made. The stand is able to charge more for strawberry lemonades and a profit of R2,10 is made on each glass of that. The owners want Maggie to sell at least twice the amount of strawberry lemonade each day as regular lemonade because more profit is made on the strawberry lemonade. They have also asked that at least 50 strawberry lemonades get sold each day because the strawberries spoil more quickly than the lemons. How many regular lemonades and how many strawberry lemonades should Maggie sell each day to…
need comprehensive and correct answers.This question is about optimization.
or S 13. Nutrition-Animal Mr. Smith decides to feed his pet Dober- man pinscher a combination of two dog foods. Each can of brand A contains 3 units of protein, 1 unit of carbohydrates, and 2 units of fat and costs 80 cents. Each can of brand B contains 1 unit of protein, 1 unit of carbohydrates, and 6 units of fat and costs 50 cents. Mr. Smith feels that, each day, his dog should have at least 6 units of protein, 4 units of carbohydrates, and 12 units of fat. How many cans of each dog food should he give to his dog each day to provide the minimum requirements at the least cost?
A firm produces headphones in two qualities, Basic (B) and Premium (P). For the coming year, the estimated quantity produced of B is 60% higher than that of P. The firm makes a markup of 170% on both products. The ratio between the profits per unit between P and B is 2. The cost price for P is $260. If the profit target is $115 362 over the next year, how much of each of the two qualities must be produced and what are the two selling prices? (Round the quantities to the nearest unit and the prices to 2 digits after the decimal point if needed) Quantity of B = Answer units Quantity of P = Answer units Selling price of B = Answer $ Selling price of P = Answer $
rials eo uations ow....zip Process . @ 2 D W Yaster Outfitters manufactures and sells extreme-cold sleeping bags. The table below shows the price-demand and total cost data, where: D • p is the wholesale price (in dollars) of a sleeping bag for a weekly demand of a sleeping bags; . C is the total cost (in dollars) of producing a sleeping bags. x (sleeping bags) p ($) 95 240 235 155 50 120 180 220 Use this data to create regression models to answer all of the questions below. #3 Price Model Find a quadratic regression equation for the price-demand data, using a as the independent variable. E p=a+bx+cr² Round a to the nearest integer, round b to 2 decimal places, and round c to 4 decimal places. Use this price model to answer question 1-2 below. $ 4 5 6 MacBook Pro C ($) 13,000 14,300 18,500 21,000 Y PEAR & * 8 ( 9 0 0 P A
A sprinter runs a 100meter dash at a constant rate of 8.25. Meters per second . A liner constraints models the relationship between the number of seconds since the start of the race an the distance remaining until the sprinter reaches the finish line. If the number of seconds since the distance remaining until the sprinter reaches the finish line if the number of seconds since the start of the race is independent variable which of the following solutions is viable. A.(5.5,54.625) B. (-2,116.5) C.(13,-7.25) D.(4.76)
From the data given compute the sales price for each product T and O. From the data given compute variable cost per unit for each product T and O. Letter Co. produces and sells two products, T and O. It manufactures these products in separate factories and markets them through different channels. They have no shared costs. This year, the company sold 50,000 units of each product. Sales and costs for each product follow.
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Suppose that a company needs 1,500,000 items during a year and that preparation for each production run costs $900. Suppose also that it costs $14 to produce each item and $3 per year to store an item. Use the inventory cost model to find the number of items in each production run so that the total costs of production and storage are minimized.
A retailer anticipates selling 1,300 units of its product at a uniform rate over the next year. Each time the retailer places an order for a units, it is charged a flat fee of $25. Carrying costs are $26 per unit per year. How many times should the retailer reorder each year and what should be the lot size to minimize inventory costs? What is the minimum inventory cost? They should order units The minimum inventory cost is $ times a year.

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