Form 4 Mathematics
A workshop makes cupboards and tables using two artisans A and B every cupboard made requires 3 days of work by artisan A and 2 days of work by artisan B. Every table made requires 2 days of work by artisan A and 2 days of work by artisan B.
In one month artisan A worked in less than 24 while artisan B Worked for Not More Than 18 Days.
The workshop made x cupboards and y tables in that month.
(a) Write all the inequalities which must be satisfied by x and y.
(b) Represent the inequalities in (a) on the grid provided.
(c) The workshop makes a profit of Ksh 6 000 on each cupboard and Ksh4 000 on each table.
Find the number of cupboards and the number of tables that must be made for maximum profit and hence determine the maximum profit.
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