A tyre company is able to manufacture `x` (hundred) grade `A` tyres and y (hundred) grade `B` tyres per day, where `y(5-x) = 10(4 - X), 0 le x le 4.` If the profit oneach grade A tyre is twice the profit on grade B tyre,what is the most profitable number of grade A tyresper day to manufacture?

A tyre company is able to manufacture x (hundred) grade A tyres and y (hundred) grade B tyres per day,where y(5-x)=10(4-X),0<=x<=4. If the profit oneach grade A tyre is twice the profit on grade B tyre,what is the most profitable number of grade A tyresper day to manufacture?

A steel plant is capable of producing x tonnes per day of a law-grade steel and y tonnes per day of a hight-grade steel, where y=(40-5x)/(10-x) . If the fixed market price of low-grade steel is half that of high-grade steel, then what should be optimal productions in law-grade steel and high-grade steel in order to have maximum receipts.

A manufacturer makes two types of tea cups, say A and B. Three machines are needed for the manufacturing and the time in minutes required for each cup on the machine is given below: Each machine is available for a maximum of 6 hrs per day. If the profit on each cup A is 75 paise and that on each cup B is 50 paise. If x and y denote the number of cups of ttpe A and B produced in a day respectively. What is the profit function ?

A manufacturer makes two types of tea cups, say A and B. Three machines are needed for the manufacturing and the time in minutes required for each cup on the machine is given below: Each machine is available for a maximum of 6 hrs per day. If the profit on each cup A is 75 paise and that on each cup B is 50 paise. If x and y denote the number of cups of ttpe A and B produced in a day respectively. What are the linear in equations satisfied by x and y ?

A manufacturer produces two types of soaps using two machines A and B . A is operated for 2 minutes and B for 3 minutes to manufacture first type , while it takes 3 minutes on machine A and 5 minutes on machine B to manufature second type . Each machine can be operated at the most for 8 hours per day . The two types of soap are sold at a profit of Rs 0.25 and Rs 0.05 each respectively . Assuming that the manufactured can sell all the soaps he can manufacture , how many soaps of each type should be manufature per day so as to maximize his profit .