Math Help Pleasse ????

Question

4. Your profit P is determined by subtracting the cost C (the amount of money it costs to operate a business) from the revenue R (the amount of money you earn from selling your product). Profit can be represented algebraically by the equations:

Profit=Revenue-Cost

OR

P = R - C

a) Rewrite the formula to solve for C.

b) Suppose your profit for one day is $1,281, and the cost of running the business for the day is $1,463. What is the revenue for that day? Explain your answer.

5. When managing a business, it is important to take inventory of where your money is spent. You have a monthly budget of $5,000. Refer to the table below and answer the questions that follow. Round your answers to the nearest tenth of a percent.

Category Cost Percentage

Labor $1,835

Materials 18%

Rent/utilities 25%

Miscellaneous $1,015

Total $5,000 100%

a) What percentage of the total monthly budget is spent on labor?

b) What percentage of the total monthly budget is spent on miscellaneous items?

c) How much do materials cost monthly?

d) How much do rent and utilities cost monthly?

Answer 1

4a) P = R - C, add C to each side for P + C = R, then subtract P gives C = R - P

4b) P = R - C, add C to each side for R = P + C, then substitute your two numbers in to find R

5a) Your total cost is $5,000, so the % spent on labor is $1835/$5000 = 36.7%

5b) $1015/$5000 = 20.3%

5c) 18% * $5000 = $900

5d) 25% * $5000 = $1250

Note - you can prove these are right because the 4 percentages add up to 100% and the 4 dollar amounts add up to $5000

Answer 2

Problem 4.a) Rewrite the formula to solve for C.

P = R - C

C = R - P answer

Problem 4.b) Suppose your profit for one day is $1,281, and the cost of running the business for the day is $1,463. What is the revenue for that day?

= $1,281 + $1,463

= $2,744 answer (based on the formula R = C + P)

Problem 5.a) What percentage of the total monthly budget is spent on labor?

= 100%($1,835/$5,000)

= 100%(367/1,000)

= 36 7/10% or 36.7% answer

Problem 5.b) What percentage of the total monthly budget is spent on miscellaneous items?

= 100%($1,015/$5,000)

= 100%(203/1,000)

= 20 3/10% or 20.3% answer

Problem 5.c) How much do materials cost monthly?

= 0.18($5,000)

= $900 answer

Problem 5.d) How much do rent and utilities cost monthly?

= 0.25($5,000)

= $1,250 answer

Answer 3

4.

a) c=r-p

b) R=P-C

R= $1281 - $1463

R= - $182

5.

a) $1835 / $5000 = 36.7%

b) $1015 / $5000 = 20.3%

c) 0.18 * 5000 = $900

d) 0.25 * 5000 = $1250

thats it.

Answer 4

4.

a) c=r-p

b) R=P-C

R= $1281 - $1463

R= - $182

Can't have a + revenue if costs are higher than profits.

5.

a) $1835 / $5000 = 36.7%

b) $1015 / $5000 = 20.3%

c) 0.18 * 5000  = $900

d) 0.25 * 5000 = $1250

hope this helps you

Answer 5

4a)     P = R - C   >>>>>   C = R - P

4b)     R = P - C

         R = $1281 - $1463 = -$182     You have a loss of $182

5a)     (labor/budget)x100%

          ($1835/$5000)x100% = 36.7%

5b)      ($1015/$5000)x100% = 20.3%

5c)      ($5000)(18%)/100% = $900

5d)        ($5000)(25%0/100% = $1250