A salesperson has been hired to sell three products. The salesperson is paid on a commission basis, earning $ 2.50, $ 3.00 and $ 2.00 per unit, respectively, for products 1, 2, and 3. In addition, the salesperson receives a base salary of $ 40 per week. Xj equals the number of units sold per week of product j for j = 1, 2, 3, and s equals the weekly salary in dollars. Determine the salary function s = f (X1 ,X2 ,X3) If maximum weekly sales for the three products are estimated at 20, 35, and 25 units, determine the restricted domain and range for the salary function.

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.