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natta225 [31]
3 years ago
8

Given the cost function, C(x), and the revenue function, R(x), find the number of units x that must be sold to break even C(x)=1

6x+36,000 and R(x)=18x
Mathematics
1 answer:
natka813 [3]3 years ago
8 0
Consider these specific values of x.

For example, if x=10, then <span>C(10)=16(10)+36,000=160+36,000=36,160 (say $)

 and R(10)=18*10=180.


So if only 10 units are produced, the total cost is 36,160, while the revenue is only 180 (again, say $.)



If, for example, x=1000, then we can calculate 

</span><span>C(1000)=16*1000+36,000=16,000+36,000=52,000

and 

R(1000)=18*1000=18,000.


This suggests that with higher values of x, we can get to a particular point where the Cost and Revenue are the same. To find this point, we set the equation:
                            C(x)=R(x), 

which gives us that particular x at which both </span>C(x) and R(x) give the same value.

Thus, we solve <span>16x+36,000=18x. Subtracting 16x from both sides                                                         2x=36,000,   then x = 36,000/2=18,000.


 
Answer: 18,000

</span>
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