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(a) x + y ≤ 16 x + 5y ≤ 20

(a) x + y ≤ 16 x + 5y ≤ 20

Advanced Engineering Mathematics
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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For the values of \( x \geq 0 \) and \( y \geq 0 \) that maximize \( z = 12x + 13y \), subject to each of the following sets of constraints: **(a)** \[ \begin{align*} x + y & \leq 16 \\ x + 5y & \leq 20 \\ \end{align*} \] **(b)** \[ \begin{align*} x + 4y & \geq 16 \\ 4x + y & \geq 12 \\ x - y & \leq 5 \\ \end{align*} \] --- **(a) Select the correct choice below and, if necessary, fill in the answer box to complete your choice.** - **A.** The maximum value occurs at \(\underline{\hspace{1cm}}\). (Type an ordered pair.) - **B.** There is no maximum value.
Transcribed Image Text:For the values of \( x \geq 0 \) and \( y \geq 0 \) that maximize \( z = 12x + 13y \), subject to each of the following sets of constraints: **(a)** \[ \begin{align*} x + y & \leq 16 \\ x + 5y & \leq 20 \\ \end{align*} \] **(b)** \[ \begin{align*} x + 4y & \geq 16 \\ 4x + y & \geq 12 \\ x - y & \leq 5 \\ \end{align*} \] --- **(a) Select the correct choice below and, if necessary, fill in the answer box to complete your choice.** - **A.** The maximum value occurs at \(\underline{\hspace{1cm}}\). (Type an ordered pair.) - **B.** There is no maximum value.
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