A plumber can be paid under two schemes as given below: I Rs. 600 and Rs 50 per hour II. Rs. 170 per hour. If the job takes n hours, for wht values of n does the scheme I gives the plumber the better wages?

A plumber can be paid under two schemes as given below : (I) : Rs. 600 and Rs. 50 per hour (II) : Rs. 170 per hour. If the job takes n hours, for what value of n does the scheme I give the plumber the better wages.

An electrician can be paid under two schemes as given below: I: Rs. 500 and Rs. 70 per hour. II: Rs. 120 per hour. If the job takes x hours, for what values of x does the i. Scheme I ii. Scheme II give the electrician the better wages.

An electrician can be paid under two schemes as given below: I: Rs. 500 and Rs. 70 per hour. II: Rs. 120 per hour. If the job takes x hours, for what values of x does the i. Scheme I ii. Scheme II give the electrician the better wages.

A plumber can be paid according to the following schemes, In the first scheme he will be paid rupees 500 plus rupees 70 per hour, and in the second scheme he will paid 120 rupees per hour. If he works x hours. Then for what value of x does the first scheme give better wages?

Assertion (A) : A plumber will be paid according to following schemes : In first scheme he will be paid ₹500 plus ₹70 her hour and in the second scheme he will paid ₹120 per hour. If he work for less than 10 hours the first scheme give better wages. Reason (R) : In the first scheme he will get a fixed ₹500 whereas longer than 10 hours second scheme will pay more.

A manufacturer produces nuts and bolts. It takes 1 hour of work on machine A and 3 hours on machine B to produce a package of nuts. It takes 3 hours on machine A and 1 hour on machine B to produce a package of bolts. He earns profit of Rs. 17.50 per package on nuts and Rs. 7.00 per package on bolts. Formulate the above LPP if the machine operates for at most 12 hours a day

A manufacturer has 3 machines I, II and III installed in his factory. Machines I and II are capable of being operated for utmost 12 hours whereas machine III must be operated atleast for 5 hours a day. He produces only two items A and B each requiring the use of three machines. The number of hours required for producing 1 unit of each of the items A and B on the three machines are given below. He makes a profit of Rs 7600 on item A and Rs 400 on item B. Assume that he can sell all that he produces. (i) Formulate this as a linear programming problem. (ii) Solve the L.P.P by corner point method.

(Manufacturing problem) A manufacturer has three machines I, II and III installed in his factory. Machines I and II are capable of being operated for at most 12 hours whereas machine HI must be operated for atleast 5 hours a day. She produces only two items M and N each requiring the use of all the three machines. The number of hours required for producing 1 unit of each of M and N on the three machines are given m the following table: She makes a profit of Rs 600 and Rs 400 on items M and N respectively. How many of each item should she produce so as to maximise her profit assuming that she can sell all the items that she produced? What will be the maximum profit?