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Exhibit 8.1 The Following Questions Pertain to the Problem and Spreadsheet Below

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Exhibit 8.1
The following questions pertain to the problem and spreadsheet below.
A company makes products A and B from 2 resources, labor and material. The company wants to determine the selling price which will maximize profits. A unit of A costs 25 to make and demand is estimated to be 20 − .10 * Price of A. A unit of B costs 18 to make and demand is estimated to be 30 − .07 * Price of B. The utilization of labor and materials and the available quantity of resources is shown in the table. A reasonable price for the products is between 100 and 200. Exhibit 8.1 The following questions pertain to the problem and spreadsheet below. A company makes products A and B from 2 resources, labor and material. The company wants to determine the selling price which will maximize profits. A unit of A costs 25 to make and demand is estimated to be 20 − .10 * Price of A. A unit of B costs 18 to make and demand is estimated to be 30 − .07 * Price of B. The utilization of labor and materials and the available quantity of resources is shown in the table. A reasonable price for the products is between 100 and 200.   Let X<sub>1</sub> = demand for As and X<sub>2</sub> = demand for Bs. Let P<sub>1</sub> = price for As and P<sub>2</sub> = price for Bs   -Refer to Exhibit 8.1. What formula is used in cell B9 of the spreadsheet for this problem? A)  =B3*B7+C3*C7 B)  =B5*B7+C5*C7 C)  =(B5-B4) *B7+(C5-C4) *B7 D)  =B3*B7+C3*B7+B4*B7+C4*B7 Let X1 = demand for As and X2 = demand for Bs.
Let P1 = price for As and P2 = price for Bs Exhibit 8.1 The following questions pertain to the problem and spreadsheet below. A company makes products A and B from 2 resources, labor and material. The company wants to determine the selling price which will maximize profits. A unit of A costs 25 to make and demand is estimated to be 20 − .10 * Price of A. A unit of B costs 18 to make and demand is estimated to be 30 − .07 * Price of B. The utilization of labor and materials and the available quantity of resources is shown in the table. A reasonable price for the products is between 100 and 200.   Let X<sub>1</sub> = demand for As and X<sub>2</sub> = demand for Bs. Let P<sub>1</sub> = price for As and P<sub>2</sub> = price for Bs   -Refer to Exhibit 8.1. What formula is used in cell B9 of the spreadsheet for this problem? A)  =B3*B7+C3*C7 B)  =B5*B7+C5*C7 C)  =(B5-B4) *B7+(C5-C4) *B7 D)  =B3*B7+C3*B7+B4*B7+C4*B7
-Refer to Exhibit 8.1. What formula is used in cell B9 of the spreadsheet for this problem?

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Definitions:

Crypt Arithmetic

A type of mathematical puzzle in which the digits are replaced by letters or symbols, and the aim is to figure out the original digits.

Logic

The study of principles of reasoning, including the structure of arguments and the correctness of inferences.

Backtracking

A problem-solving technique that involves keeping track of where in the solving process assumptions are made so that they may be changed later.

Logic Problem

A puzzle or question that requires reasoning and critical thinking skills to solve.

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