A manufacturer produces nuts and bolts. It takes 1 h of work on machine A and 3 h on machine B to produce a package of nuts. It takes 3 h on machine A and 1 h on maching B to produce a package of bolts. He earns a profit of Rs. 17.50 per package on nuts and Rs. 7.00 per package on bolts. How many package of each should be produced each day so as to maximize his profit, if he operates his machines for at the most 12 h a day ?

Q. A factory manufactures two types of screws, A and B. Each type of screw requires the use of two machines, an automatic and a hand operated. It takes 4 minutes on the automatic and 6 minutes on hand operated machines to manufacture a package of screws A, while it takes 6 minutes on automatic and 3 minutes on the hand operated machines to manufacture a package of screws B. Each machine is available for at the most 4 hours on any day. The manufacturer can sell a package of screws A at a profit of Rs 7 and screws B at a profit of Rs10. Assuming that he can sell all the screws he manufactures, how many packages of each type should the factory owner produce in a day in order to maximize his profit? Determine the maximum profit.

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A packaging machine produces 2400 packages in 60 minutes. How many packages does it produce in 45 minutes?

The correct option is D 1800Calculate the unit rate of production Unit rate =2400 Packages60 mins =2406 =40 packages per minute So, machine produces 40 packages per minute. Since, it produces 40 packages in a minute. Hence, in 45 minutes total packages produced =40×45 =1800 packages

A packaging machine produces $2400$ packages in $60$ minutes. How many packages does it produce in $45$ minutes?