Suppose a publishing company estimates that its monthly cost is C(x) = 600x ^ 2 + 300x and its monthly revenue is R(x) = - 0.4x ^ 3 + 700x ^ 2 - 600x + 500 , where x is in thousands of books sold. The profit is the difference between the revenue and the cost. What is the profit function , P(x)?

Acompany manufactures three types of cabinets. it makes 110 cabinets each week. in the first week, the sum of the number of type-1 cabinets and twice the number of type-2 cabinets produced was 10 more than the number of type-3 cabinets produced. the next week, the number of type-1 cabinets produced was three times more than in the first week, no type-2 cabinets were produced, and the number of type-3 cabinets produced was the same as in the previous week.