A chemical manufacturing plant can produce z units of chemical Z given p units of chemical P and runits of chemical R, where:2 = 40p.5 p0.5Chemical P costs $200 a unit and chemical R costs $400 a unit. The company wants to produce asmany units of chemical Z as possible with a total budget of $32,000.A) How many units each chemical (P and R) should be "purchased" to maximize production ofchemical Z subject to the budgetary constraint?Units of chemical P, p =Units of chemical R, r =B) What is the maximum number of units of chemical Z under the given budgetary conditions? (Roundyour answer to the nearest whole unit.)Max production, z=units

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Answered: A chemical manufacturing plant can…

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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Solve the problem. Suppose an economy consists of three sectors: Energy (E), Manufacturing (M), and Agriculture (A). Sector E sells 70% of its output to M and 30% to A. Sector M sells 30% of its output to E, 50% to A, and retains the rest. Sector A sells 15% of its output to E, 30% to M, and retains the rest. Denote the prices (dollar values) of the total annual outputs of the Energy, Manufacturing, and Agriculture sectors by Pe. Pm, and Pa respectively. If possible, find equilibrium prices that make each sector's income match its expenditures. Find the general solution as a vector, with pa free. 0.356 Pal Pm-0.686 Pa Pe Pa Pe Pm Pa Pe Pm - Pa Pe Pm Pa Pa [0.465 Pa = 0.593 Pa Pa [0.308 Pa 0.716 Pa Pa 0.607 Pa 0.481 Pa Pa
A certain company is producing and selling its product X. The variable cost of the product X is 60% of its selling price, and the fixed cost of the company is $50,000 per month. When the company’s target profit for the forthcoming month is $20,000, how much sales volume (in dollars) is required to meet it?
Internet Audience At the end of a certain year, the four companies with the largest number of home Internet users in the United States were Microsoft, Time Warner, Yahoo, and Google, with a combined audience of 284 million users. Taking x to be the Microsoft audience in millions, y the Time Warner audience in millions, z the Yahoo audience in millions, and u the Google audience in millions, it was observed that zu = x + y = and xy + zu = 44. How large was the audience of each of the four companies at the end of that year? Microsoft Time Warner Yahoo Google 3(x - y) + 8 50 + z + u
need comprehensive and correct answers.This question is about optimization.
The monthly demand for Williams Tchotchkes (q measured in 1000s of tchotchkes) depends on the price that they set for their tchotchkes (p measured in dollars), the average price of substitutes for their tchotchkes (p, also measured in dollars), and the average monthly disposable income in the market for tchotchkes (y measured in $1000s). The current prices are p = $10 and p₁ = $11, the current monthly demand for Williams Tchotchkes is 8000 tchotchkes and the current average monthly disposable income in the tchotchkes market is $3500. Furthermore, it is known that Əq Op p=10 Pg=11 y=3.5 = -0.31, Əq aps P=10 Pg=11 y=3.5 = 0.44 and Əq dy p=10 Pg=11 y=3.5 = 0.72. Scenario 1: Suppose that p increases by $0.20, p, increases by $0.35 (from their current values), and income doesn't change. In this scenario, monthly demand for Williams Tchotchkes' monthly will [Select] , and Williams Tchotchkes' monthly revenue will [Select] Scenario 2: Now (instead) suppose that average monthly income in the…
Example 3. Food I contains 10 units of vitamin A and 12 unit of vitamin R gram and cost 20 paise per gram. Food II contains 7 unit of vitamin A and 15 unis of vitamin B and costs 18 paise per gram. The daily requirement of vitamin A and R are atleast 80 units and 90 units respectively. Formulate the above as an LPP to per minimise the cost. CS Scanned with CamScanner
A company manufactures two products. If it charges price p; for product i, it can sell g; units of product i, where g1 = 80 - 2p1 + P2 and g2 = 100 - 3p2 + p1. It costs $8 to produce a unit of product 1 and $15 to produce a unit of product 2. a. How many units of each product should the company produce to maximize its profit? If needed, round your answers to one decimal digit. Product 1 Product 2 Production quantities b. What prices should the company charge to maximize its profit? If needed, round your answers to the nearest cent. Product 1 Product 2 Prices $
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A chemical manufacturing plant can produce z units of chemical Z given p units of chemical P and r units of chemical R, where: z = 100p-75,0.25 Chemical P costs $100 a unit and chemical R costs $700 a unit. The company wants to produce as many units of chemical Z as possible with a total budget of $112,000. A) How many units each chemical (P and R) should be "purchased" to maximize production of chemical Z subject to the budgetary constraint? Units of chemical P, p = Units of chemical R, r = B) What is the maximum number of units of chemical Z under the given budgetary conditions? (Round your answer to the nearest whole unit.) Max production, z= units
The new city water company that you have researched charges homeowners based on how much water they use in thousands of gallons. The company progressively charges at a higher rate the more water that is used. Cost of Water Bill (dollars) 240 230 220 210 190 180 170 160 110 Water Usage (in thousands of gallons) 11. Based on the graph above, how much does the city charge when a homeowner uses the following number of gallons of water: a) 1700 gallons of water b) 2000 gallons of water c) 7000 gallons of water 12. Finish filling in the following piece-wise equation below that describes the chart based on the graph 50 if 0 < x <2 5x+50 y = if 6≤x≤8 30x 140

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