Acompany makes a $5 profit on each non-faulty product it sells. approximately 2% of the products manufactured are faulty.
with no way to discover which ones are faulty before delivery. if replacement-and-repair costs for the faulty products are $100
each, what is the profit per item?
a. loss of $15.10
b. loss of $15
c. profit of $2.90
d. profit of $3.00

Step-by-step

The steps are much easier to follow when we know how many product it sells.  The number does not really matter, because we need the profit per item.

Say, the company made and sold 100 items of the product.

The revenue = 100*5 = $500.

On the average, 2 out of 100 are defective and need to be replaced at a cost of $100 each, so

replacement cost = 2* 100 = 200

So net profit for 100 items = $500 -$200 = $300

Net profit for each item = $300/100 = $3.00

Remark: since the product is replaced, no refund is necessary, so revenue stays at $300.

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form