Given the Following Linear Programming Problem Using the Simplex Method, What Is the Value for S₂

question 60

Short Answer

Given the following linear programming problem:
$\begin{array} { l l } \operatorname { maximize } & \mathrm { Z } = \$ 100 x _ { 1 } + 80 x _ { 2 } \\\text { subject to } & x _ { 1 } + 2 x _ { 2 } \leq 40 \\& 3 x _ { 1 } + x _ { 2 } \leq 60 \\& x _ { 1 } , x _ { 2 } \geq 0\end{array}$
Using the simplex method, what is the value for S₂ in the optimal tableau?

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Definitions:

Ending Inventory

The total value of goods available for sale at the end of an accounting period, after accounting for sales and purchases during the period.

FIFO

"First In, First Out," an inventory valuation method where goods first bought are the first ones sold, affecting the cost of goods sold and inventory on financial statements.

Ending Inventory

The total value of a company's merchandise, raw materials, and finished and unfinished products which have not yet been sold at the end of an accounting period.

Perpetual Inventory System

An accounting method that records inventory purchases and sales in real time, providing a continuous account of inventory levels.