Please fill in the ven as well x M (no subject)- mikaylaberry76@g XBb Welcome, Layton- Blackboard L XSets and Venn diagrams Problem Xb Success Confirmation of Questio X+J/student.desmos.com/activitybuilder/instance/6229f3859708560a171882f8/student/622a06f1bfcb9b52ebe524fe#screenld%3D22a34eea-a627-4436-a2a6-8c1b15722ec0A Qroblem Set #2Use the Venn diagram and the data provided to find the number of students surveyed. Place the number in the provided box.John has applied for the registrar's job at a smallcollege. He submitted the following report to the hiringcommittee on a survey he did. He forgot to include thenumber of students he surveyed.SubmitUse the data below and the Venn diagram and findout how many students John surveyed.+ 45 take mathematics;+ 40 take chemistry;+ 47 take physics;* 20 take mathematics and chemistry;+ 15 take chemistry and physics;10 take mathematics and physics;8 take all three of these subjects; and* 10 students take none of these three subjects.MathChemistryPhysicsdeleteInserthomepuaprt scLL-backspaceF8ock#35.3.enter77R.K.shiftH.D.B.dn 6d

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College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter6: Matrices And Determinants

Section: Chapter Questions

Problem 4P

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In 2015, the Phoenix/Zweig Advisors Zweig Total Return fund (ZTR) was expected to yield 5% and the Madison Asset Management Madison Strategic Sector Premium fund (MSP) was expected to yield 7%. You would like to invest a total of up to $60,000 and earn at least $3,500 in interest. Draw the feasible region that shows how much money you can invest in each fund (based on the given yields). Find the corner points of the region. Make sure you use a test point in your work. Shade the region(s) that is NOT the solution and label the region SOLUTION SET.
Question4: The simplex table obtained from an enterprise that produces three products under three constraints: machine hours, raw materials and meeting demand is given. Write the primal and dual results. X₁ = ? X₂ = ? X₃ = ? S₁ = ? S₂ = ? S₃ = ? L₁ = ? L₂ = ?
Question4: The simplex table obtained from an enterprise that produces three products under three constraints: machine hours, raw materials and meeting demand is given.Write down the primary and binary results and how the conclusion was reached.X₁ = ?X₂ = ?X₃ = ?S₁ = ?S₂ = ?S₃ = ?L₁ = ?L₂ = ?
Can you show the step by step process of the first order conditions in order to get equation 8.9 , 8.10 and 8.11 Lagrange multipliers. L = Lagrangian Lagrange multipliers: Gamma and Lambda w_p = Portfolio weight
4.). Referring back to question 3. Determine the five vertices of the feasible region, given theconstraints. (You may use Desmos to help with graphing!)Constraints (for this linear programming problem):2x + 6y ≤ 30x ≤ 9y ≤ 3x ≥ 0y ≥ 0 Draw or insert a picture of your graph from desmos here: Answer Choices(select ALL answers below thatare vertices of the feasible region) A. (0, 0) F. (9, 2)B. (9, 3) G. (9, 3)C. (0, 3) H. (0, 9)D. (0, 5) I. (3, 6)E. (6, 3) J. (9, 0)
A company needs to choose one supplier for a particular type of silicon wafer used in the production of semiconductors. The company has three options. Supplier A sells the silicon wafers for $2.40 per wafer, independently of the number of wafers ordered. Supplier B sells the wafers for $2.20 each but does not consider an order for less than 2,000 wafers. Supplier C sells the wafers for $2.00 each but does not accept an order for less than 3,000 wafers. Assume an order setup cost of $200 and an annual requirement of 10,000 wafers. Assume a 20% annual interest rate for holding cost calculations. Which supplier should be chosen to minimize the total annual cost for the wafers, and what is the optimal order quantity? If the replenishment lead time for wafers is three months, determine the reorder point based on the on-hand level of inventory of wafers.
Anil and Bala have the choice of using either Integrated Pest Control (IPC) or Terminator (T) to solve the problem of pest insects. The table below shows their payoffs depending on their choice. The following diagram shows these possible outcomes on a graph. Based on the information above, which of the following is correct? a.(I, I) is the unique Pareto efficient outcome. b.Anil and Bala can Pareto improve by moving from (T, T) to (T, I). c.(T, T) is the only Pareto inefficient outcome. d.Anil and Bala will both be happy to move from the Pareto efficient (I, T) to the "fairer" Pareto efficient outcome (I, I).
The Pimco New York Municipal Bond Fund (PNF) and the Fidelity Spartan Mass Fund (FDMMX) are tax-exempt municipal bond funds. In 2003, the Pimco fund yielded 6% while the Fidelity fund yielded 5%. You would like to invest a total of up to $70,000 and earn at least $3,600 in interest in the coming year (based on the given yields). Draw the feasible region that shows how much money you can invest in each fund. Find the corner points of the region.
Group I nesting boxes were well separated from each other and well hidden by availablebrush. There were a total of 480 eggs in group I, of which a field count showed about275 hatched. Group II nesting boxes were placed in highly visible locations and groupedclosely together. There were a total of 874 eggs in group II boxes, of which a field countshowed about 272 hatched. Find a point estimate ˆp1 and ˆp2 for the proportion of eggsthat hatch in group I nest boxes and group II nest boxes. Let p1 and p2 be the populationproportion of hatched count in boxes I and II respectively. Find a 99% confidence intervalfor p1 − p2.(a) List the given information with appropriate symbols.(b) What is the probability distribution of ˆp1−pˆ2, difference between sample proportions?(c) Write the expression for the population mean of ˆp1 − pˆ2 distribution. Use propersymbols. (d) Find the population standard deviation of ˆp1 − pˆ2 distribution. Use proper mathematical symbols.(e) Find the margin of error of…
Consider the linear program minimize z=2x1-3x2 subject to 4x1+3x2<=12 x1-2x2<=2 x1, x2>=0 Represent the point x=(1,1)T as a convex comination of extreme points. (i) Draw graph of feasible region; show location of x (ii) Find 2 different convex combinations using 3 extreme points. (iii) Find a 3rd convex combination using all 4 extreme points. [Hint: find 3 different combinations of extreme points that surround the point you are trying to represent; remember that the coefficients must sum to one and be > 0]
Resource Allocation Podunk Institute of Technology's Math Department offers two courses: Finite Math and Applied Calculus. Each section of Finite Math has 40students, and each section of Applied Calculus has 30. The department is allowed to offer a total of up to 70 sections. Furthermore, no more than 2,400 students want to take a math course. (No student will take more than one math course.) Draw the feasible region that shows the number of sections of each class that can be offered. What are the four points om the graph taht demonstrate x is greater than or equal to zero or y is greater than or equal to 0 (_,0/_,1/0,_/1,_)
A company makes two products (X and Y) using two machines (A and B). Each unit of X that is produced requires 50 minutes of processing time on machine A and 30 minutes of processing time on machine B. Each unit of Y that is produced requires 24 minutes of processing time on machine A and 33 minutes of processing time on machine B. At the start of the current week, there are 30 units of X and 90 units of Y in stock. Available processing time on machine A is forecast to be 40 hours and on the machine, B is forecast to be 35 hours. The demand for X in the current week is forecast to be 75 units and for Y is forecast to be 95 units. Company policy is to maximize the combined sum of the units of X and the units of Y in stock at the end of the week. Formulate the problem of deciding how much of each product to make in the current week as a linear program. Solve this linear program using excel.

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