A cottage industry produces a certain number of pottery articles in a day.It was observed on a particular day that the cost of production of each articles (in rupees)was 3 more than twice the number of articles produced on that day.If the total cost of production on that day was Rs.90,find the number of articles produced and the cost of each articles.

A factory requires 42 machines to produce a given number of articles in 63 days. How many machines would be required to produce the same number of articles in 54 days?

The cost and revenue functions of a product and givenm by C(x)=2x+400 and R(x)=6x+20 respectively,where x is the number of items produced by the manufacturer.How many items the manufacturer must sell to realise some profit?

A contract of construction job specifies a penalty for delay of completion beyond a certain date as follows:₹200 for the first day,₹250 for the second day,₹300 for the thrid day etc.the penalty for each succeeding day being ₹50 more than for the preceding day.How much does a delay of 30 days cost the contractor?

Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method:(i) A part of monthly hostel charges is fixed and the remaining depends on the number of days one has taken food in the mess.When a student A takes food for 20 days she has to pay Rs 1000 as hostel charges whereas a student B,who takes food for 26 days,pays Rs 1180 as hostel charges.Find the fixed charges and the cost of food per day.