Question

In a factory, the profit, P, varies directly with the inventory, I. If the factory has a profit of $60,000 when their inventory is 1,500 units, find the profit for an inventory of 50 units.

Answer 1

The factory has a profit of $60 000when their inventory is 1, 500 units

Let x be the profit for an inventory of 50 units

$60 000 = 1,500 units

X = 50 units

cross-multiply

1500X = $60 000 x 50

1500X =3,000,000

Divide both-side of the equation by 1500

1500X/1500 = 3,000,000/1500

x= $2000

The factory has a profit of $2000 for an inventory of 50 units