Sunseel Industries produces two types of raw materials, A and B, with a production cost of $4 and $8 per unit, respectively. The processing times for A and B are observed to be 5 hours and 4 hours, respectively. A total of 3000 processing hours are available per month. The combined production of A and B must be at least 700 units per month. The factory is expected to produce at least 400 units of B and not more than 1200 units of A each month. Develop a linear program that Sunseel Industries can use to determine the number of units of each raw material to produce that will meet the demand and minimize the total cost. Let A = number of units of Raw material-A produced per month Let B = number of units of Raw material-B produced per month Write the LP in standard form: Min A + B subject to A + Bs 3000 (max processing hours) B 2 A (minimum total A + production)

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Equations and inequalities describe the relationship between two mathematical expressions.

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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.