Assume that the cost to produce an item is a linear function and all items produced are sold. A lumber yard has fixed costs of $3810.30 per day and variable costs of $0.91 per board-foot produced. Lumber sells for $2.21 per board-foot. A board-foot is a measure of volume.

At least how many board-feet must be sold for the lumber yard to make a profit?

at least, 2931 board feet

Step-by-step explanation:

Let x represent the number of board-feet of lumber yards that is produced and sold in a day

The lumber yard has fixed costs of $3810.30 per day and variable costs of $0.91 per board-foot produced. It means that the cost of producing x board-feet of lumber yards is

0.91x + 3810.3

Lumber sells for $2.21 per board-foot. It meas that the revenue from selling x board feet of lumber yard is 2.21x.

Profit = Revenue - total cost

In order to make profit, Revenue must be greater than total cost. Therefore,

2.21x ≥ 0.91x + 3810.3

2.21x - 0.91x ≥ 3810.3

1.3x ≥ 3810.3

x ≥ 3810.3/1.3

x ≥ 2931

The number of board-feet of lumber yard that must be sold to make profit is at least 2931

step-by-step explanation:

first you will have to convert 3/4 into a decimal

which is .75

then you will have to divide 1.5 by .75

which is 2

no you have to divide

in mathematics, a constraint is a condition of an optimization problem that the solution must satisfy. there are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. the set of candidate solutions that satisfy all constraints is called the feasible set.

hoped i'm right lol