An electric power plant uses solid waste for fuel in the production of electricity. The cost C in PHP per hour to produce electricity is C = 12 + 0.3x + 0.27x2, where x is in megawatts. Revenue in PHP per hour from the sale of electricity is 15x – 0.2x2.  Find the value of x that gives maximum profit.

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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.