a dvision of sellier industries manufacturers the perfect model cellular phone. the daily cost (in dollars) of producing these cellular phones is C(x) = 0.0002x^3-0.06x^2+120x+5000
where x stands for the number of units produced
what is the actual cost incurred in manufacturing the 101st cell phone?
To find the actual cost incurred in manufacturing the 101st cell phone, we need to substitute x = 101 into the cost function C(x) = 0.0002x^3 - 0.06x^2 + 120x + 5000.
C(101) = 0.0002(101)^3 - 0.06(101)^2 + 120(101) + 5000.
Now we will calculate this value:
C(101) = 0.0002(1030301) - 0.06(10201) + 12120 + 5000.
C(101) = 206.06 - 612.06 + 12120 + 5000.
C(101) = 7433.94.
Therefore, the actual cost incurred in manufacturing the 101st cell phone is $7433.94.
To find the actual cost incurred in manufacturing the 101st cell phone, we need to evaluate the cost function C(x) at x = 101.
The cost function given is:
C(x) = 0.0002x^3 - 0.06x^2 + 120x + 5000
To find the cost at x = 101, substitute this value into the cost function:
C(101) = 0.0002(101)^3 - 0.06(101)^2 + 120(101) + 5000
Now, we can calculate this value.
Step 1: Calculate (101)^3 = 101 * 101 * 101 = 1,030,301.
Step 2: Calculate (101)^2 = 101 * 101 = 10,201.
Step 3: Substitute these values into the cost function:
C(101) = 0.0002(1,030,301) - 0.06(10,201) + 12,120 + 5000
Step 4: Perform the calculations:
C(101) = 206.0602 - 612.06 + 12,120 + 5000
C(101) = -206.9998 + 17,120
C(101) ≈ 16,913.00
Therefore, the actual cost incurred in manufacturing the 101st cell phone is approximately $16,913.00.