A company produces and sells electric cars. The company's profit, P, in thousands of dollars, changes based on the number of cars, x, they produce per month.The rate of change of their profit from producing x electric cars is modelled bydP/dx= -1.6x + 48, x ? 0.The company makes a profit of 260 (thousand dollars) when they produce 15 electric cars.a. Find an expression for P in terms of x.