For a certain company, the cost for producing items is 50x + 300 and the revenue for selling aitems is 90x -0.5x².The profit that the company makes is how much it takes in (revenue) minus how much it spends (cost).In economic models, one typically assumes that a company wants to maximize its profit, or at leastwants to make a profit!Part a: Set up an expression for the profit from producing and selling items. We assume that thecompany sells all of the items that it produces. (Hint: it is a quadratic polynomial.)Part b: Find two values of a that will create a profit of $300.The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2; 4; 6 orx + 1; x - 1). The order of the list does not matter. To enter √a, type sqrt(a).x =Part c: Is it possible for the company to make a profit of $15,000?

Cost of production for item: Revenue for selling of item:

For a certain company, the cost for producing items is 50x + 300 and the revenue for selling items is 90x -0.5x². The profit that the company makes is how much it takes in (revenue) minus how much it spends (cost). In economic models, one typically assumes that a company wants to maximize its profit, or at least wants to make a profit! Part a: Set up an expression for the profit from producing and selling z items. We assume that the company sells all of the items that it produces. (Hint: it is a quadratic polynomial.) Part b: Find two values of that will create a profit of $300. The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2; 4; 6 or x + 1; x − 1). The order of the list does not matter. To enter √a, type sqrt(a). x = Part c: Is it possible for the company to make a profit of $15,000?