Answer to Question #66093 in Statistics and Probability for Amanpour

Question

A paint factory produces both interior and exterior house paints for wholesale distribution. Two basic raw materials, A and B, are used to manufacture the paints. The maximum availability of A is 6 tonnes a day and that of B is 8 tonnes a day. The requirements of raw materials per tonne of interior and exterior paints are summarized:

Raw material = A & B
Tonnes of raw material per ton of paint; Exterior, A = 2, B = 1 & Interior, A = 3, B = 3
Maximum availability (Tonnes): A = 4, B = 5

A market survey has established that the daily demand for interior paint cannot exceed that of exterior paint by more than one tonne. The survey also shows that the maximum demand for interior paint is limited to 3 tonnes daily. The whole sale price per tonne is Rs.2000/- for exterior paint and Rs.1000/- for the interior paint. How much of interior and exterior paints should the company produce daily to maximize the gross income? Formulate the problem as an LPP.