You are maintaining a commercial fish tank. The fish need certain minerals added to their water to maintain good health. Two readily available fish solutions have thefollowing contents per mL:Mineral: AAdditive X ($20) 10Additive Y ($7) 3B105С510Your fish need at least 20 units of mineral A, at least 24 units of mineral B, and at least 20 units of mineral C.a) Your objective is to minimize costs. Write out the objective function and the constraints.b) Ceterus parabus, to minimize costs how much of each additive should you give the fish?mL Additive AmL Additive Bc) What if you need at least 20 units but no more than 24 units of mineral C?mL Additive AmL Additive B

I think options (b) and (c) asked to know Additive X and Additive Y

Answered: You are maintaining a commercial fish…

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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2. A teaching assistant at a university needs 28% acid solution for her class's lab experiment. There isn't any of this concentration in stock, but the lab has 50 liters of 22% acid solution, as well as a lot of 32% acid solution. How much of the 32% acid solution should the teaching assistant add to the 22% acid solution to obtain a solution with the desired concentration? Show your work for full credit.
Researchers are investigating the effectiveness of using a fungus to control the spread of an insect that destroystrees. The researchers will create four different concentrations of fungus mixtures: 0 milliliters per liter (ml/L),1.25 ml/L, 2.5 ml/L, and 3.75 ml/L. An equal number of the insects will be placed into 20 individual containers.The group of insects in each container will be sprayed with one of the four mixtures, and the researchers willrecord the number of insects that are still alive in each container one week after spraying. (c) Describe how the treatments can be randomly assigned to the experimental units so that each treatmenthas the same number of units.
A large institution is preparing lunch menus containing foods A and B. The specifications for the two foods are given in the following table: Units of Units of Units of Fat Carbohydrates Protein Food per Ounce per Ounce per Ounce A 1 2 1 B 1 1 1 Each lunch must provide at least 6 units of fat per serving, no more than 7 units of protein, and at least 10 units of carbohydrates. The institution can purchase food A for $0.12 per ounce and food B for $0.08 per ounce. How many ounces of each food should a serving contain to meet the dietary requirement at the least cost?
Turbo Coolers Inc. builds cooling systems for industrial plants. A Type A cooler takes 80 W of power and can cool 18 liters of fluid per minute under the given conditions. A Type B cooler takes 100 W of power and can cool 60 liters of fluid per minute. A Type A cooler costs $3,500 and a Type B cooler costs $12,000. The factory has up to 1,000 W of power it can supply for cooling, and must cool 300 liters of fluid per minute. How many of each type of cooler should Turbo Coolers Inc. install in the factory to minimize cost? Formulate a linear programming model for this situation. Solve this model using graphical analysis. Display your graph and the solution parameters. Create your graph using Microsoft Word or Excel and submit it to your instructor. Create your graph using Microsoft Word or Excel and submit it to your instructor.
Goldfish care manuals recommend that you have only 12 goldfish per 10 gallons of water. If Alex owns a 40 gallon tank that has a population density of 1.75 goldfish/gallon, is Alex meeting the recommendations? There is no way to determine how many goldfish Alex actually has. Yes, Alex has fewer than 12 goldfish per 10 gallons. O Yes, Alex has exactly 12 goldfish per 10 gallons. O No, Alex has more than 12 goldfish per 10 gallons.
Gas mileage actually varies slightly with the driving speed of a car (as well as with highway vs. city driving). Suppose your car averages 29 miles per gallon on the highway if your average speed is 48 miles per hour, and it averages 26 miles per gallon on the highway if your average speed is 65 miles per hour. Answer parts (a) and (b) below. a. What is the driving time for a 2300-mile trip if you drive at an average speed of 48 miles per hour? What is the driving time at 65 miles per hour? The driving time at 48 miles per hour is hours. (Type an integer or decimal rounded to two decimal places as needed.) The driving time is at 65 miles per hour is (Round to two decimal places as needed.) b. Assume a gasoline price of $4.43 per gallon. What is the gasoline cost for a 2300-mile trip if you drive at an average speed of 48 miles per hour? What is the gasoline cost at 65 miles per hour? The gasoline cost at 48 miles per hour is $ (Round to two decimal places as needed.) hours. The…
A company makes three components for sale. The components are processed on two machines: a shaper and a grinder. The time required. (in minutes) on each machine are as follows: Component Shaper Time Grinder Time A 6 4 B 4 5 C 4 2 The shaper is available for 7200 min. and grinder for 6600 min. No more than 200 units of component C can be sold, but up to 1000 units of each of the other components can be sold. In fact the company has orders for 600 units of component A that must be satisfied. The profit contributions for components A, B and C are $8, $6 and $9 respectively. Formulate the problem for deciding the production quantities. Solve the problem using Excel Solver. Run the sensitivity analysis report in Excel Solver. What are the objective coefficient ranges (Range of Optimality) for each coefficient. Interpret these. What are the dual prices for each constraint? Interpret these. What are the right-hand side ranges (Range of Feasibility)? Interpret them. If more time is…
A 25% salt solution is mixed with a 55% salt solution. Which of the following are not possible for the percent concentration of the resulting solution? (Select all that apply.) 60% 5% 55% 43% 25% A coffee merchant combines coffee that costs $7 per pound with coffee that costs $4.30 per pound. How many pounds of each should be used to make 27 lb of a blend costing $6.05 per pound? $7 per lb coffee lb $4.30 per lb coffee lb Find the cost per ounce of a sunscreen made from 120 oz of lotion that cost $3.45 per ounce and 90 oz of lotion that cost $11.15 per ounce. $ per ounce Two planes are 1455 mi apart and are traveling toward each other. One plane is traveling 110 mph faster than the other plane. The planes pass each other in 1.5 h. Find the speed of each plane. slower plane mph faster plane mph A butcher has some hamburger that is 19% fat and some that is 11% fat. How many pounds of each should be mixed to make 80 lb of hamburger that is 13%…

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