1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
viva [34]
3 years ago
10

Suppose that the dollar cost of producing x radios is c(x) = 400 + 20x - 0.2x 2. Find the marginal cost when 30 radios are produ

ced.
Mathematics
1 answer:
My name is Ann [436]3 years ago
7 0
C(x) = 400 + 20x - 0.2x²

c(30) = 400 + 20(30) - 0.2(30)²

= 400 + 600 - 0.2(900)
= 1000 - 180
= 820

It costs $820 when 30 radios are produced. 

Marginal cost is how much it would cost to make one MORE of the same product so now we find how much it costs to produce 31 radios and compare the two. 

c(31) = 400 + 20(31) - 0.2(31)²

= 400 + 620 - 0.2(961)
= 1020 - 192.2
= 827.8 or ≈828.

Now we find the difference which means we subtract the two. 

828 - 820 = 8. 

Your marginal cost is $8. 

To compare we can also do 29 radios. 

c(29) = 400 + 20(29) - 0.2(29)² = 811.8 or ≈812

820 - 812 = 8. 
You might be interested in
A factory has a linear cost function f(x)=ax+b where b represents fixed costs and a represents the labor and material costs of m
kotegsom [21]
C . the graph will shift upwards because it is increasing on a graph
3 0
3 years ago
Read 2 more answers
Write an equation in slope-intercept form for the graph shown.
worty [1.4K]

Answer:

The equation of the graph in slope-intercept form is y = 3x + 7. 2. slope-intercept form is y = x + 2.

7 0
2 years ago
Read 2 more answers
Anyone have the answer for this
sergiy2304 [10]

\huge\bold{Given:}

Length of the base = 16 km.

Length of the hypotenuse = 34 km. \huge\bold{To\:find:}

✎ The length of the missing leg ''a".

\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}

The length of the missing leg "a" is\boxed{30\:km}.

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}

Using Pythagoras theorem, we have

({perpendicular})^{2}  +  ({base})^{2}  =  ({hypotenuse})^{2}  \\ ⇢ {a}^{2}  +  ({16 \: km})^{2}  =  ({34 \: km})^{2}  \\ ⇢ {a}^{2}   + 256 \:  {km}^{2}  = 1156 \:  {km}^{2}  \\ ⇢ {a}^{2}  = 1156 \:  {km}^{2}  - 256 \:  {km}^{2}  \\ ⇢ {a}^{2}  = 900 \:  {km}^{2}  \\ ⇢a \:  =  \sqrt{900  \: {km}^{2} }  \\ ⇢a =  \sqrt{30 \times 30 \:  {km}^{2} }  \\ ⇢a = 30 \: km

\sf\blue{Therefore,\:the\:length\:of\:the\:missing\:leg\:"a"\:is\:30\:km.}

\huge\bold{To\:verify :}

( {30 \: km})^{2}  +  ({16 \: km})^{2}  =(  {34 \: km})^{2}  \\ ⇝900 \:  {km}^{2}  + 256 \:  {km}^{2}  = 1156 \:  {km}^{2}  \\⇝1156 \:  {km}^{2}  = 1156 \:  {km}^{2}   \\ ⇝L.H.S.=R. H. S

Hence verified. ✔

\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘

7 0
2 years ago
in a sale the cost of a coat reduced from $85 to $67.50 calculate the percentage reduction in the cost of the coat
ludmilkaskok [199]
20.58% would be the answer
8 0
2 years ago
A cylinder has a volume of 175 cubic units and a height of 7 units. The diameter of the cylinder is
olga nikolaevna [1]
Easy the answer is... about 5
5 0
2 years ago
Read 2 more answers
Other questions:
  • How do you solve the equation m^2=11m by factoring?
    5·1 answer
  • Question 2
    13·1 answer
  • Ciaran scores 76% work out 76% of 75 marks <br><br> Help pls
    10·1 answer
  • #37 I need help with. best answer plz???
    5·1 answer
  • Several students were asked how many blocks they walk from home to school each day. The results are shown in the line plot. How
    15·1 answer
  • Find the median of 6,2,0,1,1,2,3,2,0,2,3,4,2,3,5
    8·2 answers
  • Diego is inviting some friends over to watch movies. He is buying popcorn and peanuts. Popcorn costs 6 cents per ounce and peanu
    14·1 answer
  • Find the values of m and c if the straight line y=mx+c passes through the point (-2,5) and has a gradient of 4.
    12·1 answer
  • You are buying groceries today. You see that apple juice is $4.90 but it is on sale 20% off. How much is it now?
    6·2 answers
  • Question will be in picture
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!