(20pt) A company produces and sells a consumer product and is able to control the demand for the product by varying the selling price. The relationship between price and demand is found to be p=38+D2700D25200 where p is the price per unit in dollars and D is the demand per month. The company is seeking to maximize its profit. The fixed cost is $1,000 per month and the variable cost is $40 per unit. The production capacity is 100 units per month, and the company produces at least 1 unit per month. c) (5pt) What is the breakeven point? d) (5pt) What is the company's range of profitable output