![victorialeverp714lg](/avatars/44310.jpg)
victorialeverp714lg
09.01.2021 •
Mathematics
3. Problem 2: Suppose a radio manufacturer has the total cost function C (x) = 43x + $ 1850 and the revenue function R (x) = $ 80x. Where "x" is the number of radios manufactured and sold. Find: pli hel
Solved
Show answers
More tips
- G Goods and services How to choose a washing machine?...
- F Family and Home Is it Worth Knowing the Gender of Your Child Before Birth?...
- H Health and Medicine Mercury Thermometer Danger: What to do when a thermometer breaks?...
- F Food and Cooking How to cook crayfish? Everything you need to know...
- G Goods and services LED-подсветка в LCD-телевизорах: 5 причин, почему она лучше других технологий...
- P Photography and Videography Understanding HDR: How It Works and Why You Need It...
- G Goods and services Which TV is better - LCD or Plasma?...
- S Sport How to Learn to Pull Up on Monkey Bars?...
- L Leisure and Entertainment Scrapbooking: What is it and Why is it Becoming More Popular?...
Answers on questions: Mathematics
- M Mathematics According to the partial construction shown, what is the next step in constructing a line perpendicular to a point off a line? with compass at p, draw an arc above...
- M Mathematics Bag of skittles containes 3 colors . red, yellow,, and green - in the ratio of 1: 2: 5 if there were a total of 32 pieces of candy, how many of each color?...
- B Business Aclient invests in an equity indexed annuity that has a guaranteed rate of 3% annual return, a 10% cap and 80% participation. in a year when the reference index...
- H Health Bob eats his breakfast, and his GI tract will now begin the process of digesting and absorbing the nutrients from this meal. What is the order in which each of...
- M Mathematics Fill in the next term in the sequence....
- C Chemistry Draw a faint pencil line around 1 cm from the bottom edge of the silica gel plate. Using a fresh spotter for each sample apply each of the five solutions to evenly...
- M Mathematics If 75% of the students are boys and there are 18 boys in the class, what is the total number of students in all in the class....
Ответ:
Given that,
Total cost function, C (x) = 43x + $1850
The revenue function R (x) = $80x
To find,
The number of units that must be produced and sold to break even.
Solution,
At break even, cost = revenue
43x + $1850 = $80x
Subtract 80x from both sides.
43x + 1850 -80x = $80x -80x
1850 = 80x-43x
37x = 1850
x = 50
So, the required number of units are 50.
Ответ:
A) both functions are linear
B) f(x) = 7446.4x + 178713.6 and f(x) = 11000x + 179000
C) House 2 will value $106894.4 more than house 1.
Step-by-step explanation:
A) Value Increase from year 1 to year 2:
House 1: 193,606.40 - 186,160 = 7446.4
House 2: 201,000 - 190,000 = 11000
Value Increase from year 2 to year 3:
House 1: 201,350.66 - 193,606.40 = 7744.26
House 2: 212,000 - 201,000 = 11000
This means that a constant increament in x variable gives a constant increament in both houses vales. Then, both functions are linear.
B) The slope is the same as the value increment from one year to the next one.
slope (m) of House 1: 7446.4
slope (m) of House 2: 11000
General formula of a line:
f(x) = mx+b
Replacing with a known point:
House 1
186,160 = 7446.4(1) + b
b = 186,160 - 7446.4 = 178713.6
equation: f(x) = 7446.4x + 178713.6
House 2
190,000 = 11000(1) + b
b = 190,000 - 11000 = 179000
equation: f(x) = 11000x + 179000
C) Replacing x = 30 into each equaiton:
Value of House 1 after 30 years
f(x) = 7446.4(30) + 178713.6 = 402105.6
Value of House 2 after 30 years
f(30) = 11000(30) + 179000 = 509000
Then, house 2 will value 509000 - 402105.6 = $106894.4 more than house 1.