Use the graphing tool to graph in equality and the boundary lines representing the nonnegative constraints. A company produces foam mattresses in two sizes: regular and king size. Ittakes 5 minutes to cut the foam for a regular mattress and 6 minutes for aking mattress. If the cutting department has 50 labor-hours available eachday, how many regular and king mattresses can be cut in one day? Expressyour answer as a linear inequality with appropriate non-negative restrictionsand draw its graph.Let x be the number of regular mattresses cut per day and let y be thenumber of king mattresses cut per day. Choose the correct inequality withappropriate non-negative restrictions below.A. 5x+6y≤ 3000, x ≥ 0, y ≥ 0OB. 5x+6y≤ 50, x ≥ 0, y ≥0OC. 6x+5y250, x ≥ 0, y ≥ 0OD. 6x + 5y ≥ 3000, x ≥ 0, y ≥01598cente Plant A can produce 4 sedans and 6 minivans per week. Plant B canproduce 5 sedans and 3 minivans per week. How many weeks should eachplant operate to produce at least 40 sedans? Express your answer as alinear inequality with appropriate non-negative restrictions and draw itsgraph. Let x be the number of weeks that plant A is producing vehicles andlet y be the number of weeks that plant B is producing vehicles....Choose the correct inequality with appropriate non-negative restrictions.4x + 5y ≤ 40, x ≥0, y 204x + 5y >40, x ≥ 0, y ≥0O 4x + 5y ≥ 40, x ≥ 0, y ≥0O4x+5y<40, x ≥ 0, y ≥0

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Answered: A company produces foam mattresses in…

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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Find the minimum and maximum values of z = 7x+10y, if possible, for the following set of constraints. x+y≤7 -x+y≤ 1 2x - y ≤8 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The minimum value is (Round to the nearest tenth as needed.) B. There is no minimum value.
Find the minimum and maximum values of z= 3x + 2y, if possible, for the following set of constraints. x+ys7 -x+y<3 2x-y≤ 10 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The minimum value is (Round to the nearest tenth as needed.) B. There is no minimum value.
(b) maximize ᏆᎪ subject to x4x12x2+4x3, x42x13x2 - 5x3, x43x14x2+6x3, x1 + x2 x3 = 1, x1, x2, x30, x4 unrestricted Hint: Remember to first rewrite all the constraints so that all variables are on the left and the right-hand side is a constant.
D For the remaining questions, consider the following problem description: An oil company is considering exploring new well sites S1, S2, ..., S10 with respective costs C1, C2, C10 And in particular they want to find the least-cost selection of 5 out of the 10 possible sites. The binary decision variables X1, X2, X10 denote the decision to explore the corresponding site.
A school wants to minimize the transportation cost of taking students on a tield trip. The following polygon of constraints represents the solutions for this situation. 10 8. 7. 3. 5678 9 10 Number of Regular School Buses X: number of regular school buses y. number of minibuses It costs $100 to rent each regular school bus, while each minibus costs $75. Unfortunately, because of mechanical problems, no more than 4 regular school buses are available on the day of the field trip. Because of this, the minimum transportation cost of the field trip will increase. A) By how much will the minimum transportation cost increase? B) How many possible solutions are there in the new solution set? Number of Minibuses
Find the minimum and maximum values of z = 9x + 2y, if possible, for the following set of constraints. x+y≤6 -x+y≤4 2x - y ≤ 10 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The minimum value is (Round to the nearest tenth as needed.) B. There is no minimum value. . Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The maximum value is B. There is no maximum value. (Round to the nearest tenth as needed.)
You have a fixed amount of window trim for a particular window. The window is a rectangle with a circle removed, and the circle has a diameter equal to the width of the rectangle: Let P represent the fixed perimeter. Let r represent the radius of the circle. Let y represent the height of the rectangle. Let A represent the Area of the SHADED REGION, that is, the area inside the rectangle but OUTSIDE the circle. (a) Write a constraint involving the perimeter; that is, write P in terms of r and y. (b) Write an equation for the Area as a function of r and y. (c) Solve the constraint for y (or even better, 2y) and substitute into the Area equation. (d) Take the derivative and set it equal to zero. Solve for P. (e) Substitute for P in the equation in part (c) and solve for y. (f) What is the RATIO of the height y to width 2r for the rectangle that maximizes the shaded area? (g) Interpret the geometric meaning of the result in (f).
Verify that in the example to the right, the same result isobtained if the constraint x + y = 20 is used to eliminate x rather than y.
Find the maximum value of P where P = 5x 2y subject to the constraints x 2, y 10. 4, x + y (Fill in the blanks below and give your answers as whole numbers.) The maximum value occurs at the corner point (_(1)_, _(2) _), where P is equal to (3) eBook Answer 1 Answer 2 Answer 3
Select the characteristics of balance constraints: are used to enforce a quantity that depends on the decision variable(s) are indicated with "meets" or "more or less than" typically involves an equality cause significant processing time may require multiple formulas to accurately express the relationship
What is the exact calculator input on geogebra to get the graph? Please construct the graph and the constraints you substituted. Please don’t send the same exact answer as last time
Find the minimum and maximum values of z= 2x + 9y, if possible, for the following set of constraints. x+ys7 -x+ys3 2x- ys 10 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The minimum value is (Round to the nearest tenth as needed.) O B. There is no minimum value. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The maximum value is (Round to the nearest tenth as needed.) O B. There is no maximum value.

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