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A young R & D engineer at Carron Chemical Company has synthesized a sensational new fertilizer made of just two interchangeable basic raw materials. The company wants to take advantage of this opportunity and produce as much as possible of the new fertilizer. The company currently has $40, 000 to buy raw materials at a unit price of $8000 and $5000 per unit, respectively. When amounts x1 and x2 of the basic raw materials are combined, a quantity q of fertilizer results given by:
a) Formulate as a nonlinear program.
b) Apply four iterations of the Frank-Wolfe algorithm; graphically identify the optimal point, using the property that even- and odd-numbered points lie on lines directly toward the optimum. Start from x 0 = (0, 0) and use three decimal places in your computations.
c) Solve the problem using the algorithm for quadratic programming discussed in Section 13.7.
Determine the mass flow rate of the steam and the state of the steam at the exit of the nozzle.
Calculate the required value of Ta1 if the film temperature falls to 34°C, and the value if it rises to 36°C.
What are the impacts that the pharmaceutical company that makes the medications in question will experience? How will that affect the pharmaceutical company production decisions? What about its decisions to conduct further research into new drugs?
What is the concentration of the original hydrochloric acid solution? Also, what volume of 0.0200 M calcium hydroxide is required to neutralize 35.00 mL of 0.0500 M nitric acid? Explain your answer in detail.
Write down the differential equation you would need to solve to find the money metric utility function. If you can, solve this differential equation.
In assessing the success of these programs, it's important tokeep the entire life cycle of ethanol fuels in mind. a. Up to 10% by volume of gasoline in theU.S. may consist of corn-based ethanol. Using this information, calculate the amount of crud..
A 50-kW, 250-V, short-shunt compound generator has the following data: Ra = 0.06 Ω, RS = 0.04 Ω, and Rf = 125 Ω. Calculate the induced armature voltage at rated load and terminal voltage. Take 2 V as the total brush-contact drop.
-12 the gravimetric composition and properties of two different typical fuels i.e. coal and fuel oil is tabulated below- Parameters coal fuel oil Composition weight% -- C 76 85 H 4.5 11.5 S 0.5 3.5 N 1.0 -- O 3.0
Assuming the unknown acid has one acidic proton per molecule, what is the molecular formula of the unknown acid? Explain how you arrived at your answer.
One mol of methanol vapor is cooled under constant pressure in a closed system by removing 25000 J of heat. Initially, the system is at 2 bar, 200 °C. Determine the final temperature.
A 25 wt% solution of coffee in water at 70°F is spray dried to a final moisture content of 5% (dry basis) with air that enters at 450°F and 1 atm with a humidity of 0.01 lb/lb (dry basis) and exits at 200°F. Assuming a reasonable value for the spe..
The efficiency of a 400-kVA, single-phase, 60-Hz transformer is 98.77% when delivering full-load current at 0.8 power factor, and 99.13% with half rated current at unity power factor.
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