The equations that represent the largest number of x desks, y coffee tables, and z corner tables that can be made are
50x + 30y + 5z = 690
40x + 15y + 5z = 620
45x + 10y + 5z = 510
Writing Linear equations
From the question, we are to determine the three equations that are needed to find the largest number of x desks, y coffee tables, and z corner tables that can be made
From the given information,
Desks use 50 units of wood, 40 units of fabrics, and 45 units of stuffing
Coffee tables use 30 units of wood, 15 units of fabrics, and 10 units of stuffing
Corner tables use 5 units of wood, 5 units of fabrics, and 5 units of stuffing
Also,
There are 690 units of wood, 620 units of fabric and 510 units of stuffing available to make the items
Thus,
The equations that represent the largest number of x desks, y coffee tables, and z corner tables that can be made are
50x + 30y + 5z = 690
40x + 15y + 5z = 620
45x + 10y + 5z = 510
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