To predict its stock price, maximize its profits and analyze its investments. a) A company is interested in maximizing profits. Its profit model is given by the function: f(x) = x^2x+3 where x represents the number of items produced by the company inthousands. Determine how many items should be produced by the company to maximize profit given that the company cannot produce more than 100 000 items?

b) A second company is interested in minimizing costs. Its cost model is given by the function: f(x) = x^2/10x-500 where x represents the number of items produced by the company in thousands. Determine how many items should be produced by the company to minimize cost given that the company produces between 60000 and 200 000 items?