I am the people's hospital is ready to purchase from the medical equipment sales company a,b two kinds of medical equipment **** 80 pieces, of which a kind of equipment
(1) set the company's production A clock in the medical equipment x, the production of B clock in the medical equipment (80-x) units, according to the meaning of the problem Solved , take the integer x = 38, 39, 40 ∴ the company has 3 clock production program: Program 1: the production of A clock equipment 38 units, B clock equipment 42 units. Option 2: Produce 39 units of A-bell apparatus and 41 units of B-bell apparatus. Option 1: Produce 40 of the A clock instruments and 40 of the B clock instruments. The company makes a profit: W = (24-20)x + (30-25) (80-x) = -x+400 When x = 38, W has a maximum value. ∴ Maximum profit is obtained when 38 units of A clock apparatus and 42 units of B clock apparatus are produced. (2) According to the question, W = (4+a)x+5(80-x) = (a-1)x+400 Maximum profit is obtained when a-1>0, i.e., a>1, produces 40 units of A clock apparatus and 40 units of B clock apparatus. When a-1 = 0, that is, a = 1, (1) in the three programs profit of 4 million yuan; When a-1<0, that is, a<1, the production of A clock apparatus 38 units, B clock apparatus 42 units, to obtain the maximum profit.