Suppose a product's revenue function is given by $\displaystyle {R}{\left({q}\right)}=-{3}{q}^{{2}}+{300}{q}$ , where $\displaystyle {R}{\left({q}\right)}$ is in dollars and $\displaystyle {q}$ is units sold. Also, it's cost function is given by $\displaystyle {C}{\left({q}\right)}={178}{q}+{3750}$ , where $\displaystyle {C}{\left({q}\right)}$ is in dollars and $\displaystyle {q}$ is units produced. Find a simplified expression for the item's Marginal Profit function ($\displaystyle {M}{P}{\left({q}\right)}$) and record your answer in the box. Be sure to use the correct variable. (Use the Preview button to check your syntax before submitting your final result).

Answer: $\displaystyle {M}{P}{\left({q}\right)}=$Preview Question 6