Eduardo started a business selling sporting goods. he spent $7500 to obtain his merchandise, and it costs him $300 per week for general expenses. he earned $850 per week in sales. what is the minimum number of weeks it will take for eduardo to make a profit? write an inequality to model the problem.

Total Revenue is equal to 850 * weeks. 
Total Cost is equal to the sum of Total Fixed Cost and Total Variable Cost. The Total Fixed Cost is equal to 7500 and the Total Variable Cost is equal to 300 * weeks. 

For him to earn he should have a positive profit.
Profit = Total Revenue - Total Cost >= 0Profit = 850 * weeks - (7500 + 300 * weeks) >= 0850 * weeks - 7500 - 300 * weeks >= 0550 * weeks - 7500 >= 0 (Model)
The minimum number of weeks can be solved by considering the break-event point (i.e. zero profit).550 * weeks - 7500 = 0

weeks = 14.

I hope my answer has come to your help. Thank you for posting your question here in . We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

4+2=-2. 1+2=3. y=-2/3x+b. 2=4/3+b. 2/3=b. the answer is y= -2/3x+2/3

and y≤ -x +4 .

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

.

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

y≤ -x +4 .