Question

A small metal press shop makes Ash Trays and Tea Trays. The process consists of
buying sheet metal from the market, cutting out appropriate pieces of ash tray/tea tray on
stamping machines, forming the stamped pieces into ash tray/tea tray and finally painting
in the Spray Painting Booth. The finished products are sold through a distributor who is
ready to take any amount that can be supplied. The stamping capacity is 3,000 seconds
per day and a tea tray takes 20 seconds to stamp while an ash tray takes 10 seconds to
stamp. Forming capacity is the same as stamping but forming a tea tray takes only 5
seconds while an ash tray takes 15 seconds to be formed. Painting capacity is 4,000
seconds
per day requiring 10 seconds for an ash tray and 8 seconds for a tea tray. The net
realisation for a tea tray is Rs.2.50 with a variable cost of Rs.2.20. An ash tray fetches
Rs. 1.50 against a variable cost of Rs.1.30. The fixed expenses are Rs. 350 per day. Read
the above problem carefully and formulate this product mix problem Solve it graphically
to maximize the profit.​

Answer 1

Answer:

Tea Trays. The process consists of

buying sheet metal from the market, cutting out appropriate pieces of ash tray/tea tray on

stamping machines, forming the stamped pieces into ash tray/tea tray and finally painting

in the Spray Painting Booth. The finished products are sold through a distributor who is

ready to take any amount that can be supplied. The stamping capacity is 3,000 seconds

per day and a tea tray takes 20 seconds to stamp while an ash tray takes 10 seconds to

stamp. Forming capacity is the same as stamping but forming a tea tray takes only 5

seconds while an ash tray takes 15 seconds to be formed. Painting capacity is 4,000

seconds

per day requiring 10 seconds for an ash tray and 8 seconds for a tea tray. The net

realisation for a tea tray is Rs.2.50 with a variable cost of Rs.2.20. An ash tray fetches

Rs. 1.50 against a variable cost of Rs.1.30. The fixed expenses are Rs. 350 per day. Read

the above problem carefully and formulate this product mix problem Solve it graphically

to maximize the profit