Write the constraint below as a linear inequality.A canoe requires 3 hours of fabrication and a rowboat 5 hours. The fabrication department has at most 112 hours oflabor available each week. Let x be the number of canoes and let y be the number of rowboats.Choose the inequality that represents the given constraint.A. 3x+5y2112B. 5x + 3y ≤ 112C. 5x+3y2112D. 3x+ 5y ≤ 112

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Answered: Write the constraint below as a linear…

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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Write the constraint below as a linear inequality. A candidate will spend no more than $8000 on radio and TV advertising. Each radio spot costs $110 and each TV ad costs $780. Let x be the number of radio spots and let y be the number of TV ads. Choose the inequality that represents the constraint. A. 110x + 780y ≥ 8000 B. 110x + 780y≤ 8000 C. 780x + 110y ≥ 8000 D. 780x + 110y≤ 8000
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.
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).
Write the constraint below as a linear inequality. A canoe requires 6 hours of fabrication and a rowboat 5 hours. The fabrication department has at least 109 hours of labor available each week. Let x be the number of canoes and let y be the number of rowboats. Choose the inequality that represents the given constraint. A. 5x + 6y≤ 109 B. 5x + 6y2 109 C. 6x + 5y ≥ 109 D. 6x + 5y ≤ 109
40 19) A radio station is giving away tickets to a concert. They plan to give away tickets for seats that cost $10 and $20. They want to give away at least 20 tickets, totaling no more than $280. Write and graph a system of inequalities to represent the possible combination of tickets that can be given away. 30 20 10 10 20 30
When the constraint is composing of only one variable, the form of the line is I. a horizontal line II. a vertical line II. a diagonal line O I only O Il only O I and Il only O Il and III only
Determine graphically the solution set for the system of inequalities. x + y ≤ 5 0 ≤ x ≤ 2 y ≥ 0
Prime Paints manufactures two types of paints, one for interior painting and the other for exterior painting. Both types require the use of two raw materials - M1 and M2, so that the maximum daily availabilities of these materials are 24 tons and 6 tons, respectively. It is known that 1 ton of the interior type of paint requires 4 tons of M1 and 2 tons of M2. On the other hand, 1 ton of the exterior type of paint requires 6 tons of M1 and 1 ton of M2. It has been established that the daily demand for interior paint cannot exceed that for the exterior paint by more than 1 ton. Also, the maximum daily demand for interior paint is 2 tons. The company wants to determine the optimum product mix of interior and exterior paints to maximize the total daily profit given that the profit per ton of the interior paint is 4 thousand dollars and the profit per ton of the exterior paint is 5 thousand dollars.
Use the graphing tool to graph in equality and the boundary lines representing the nonnegative constraints.

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