She Can Miss No More Than 7 Days To Make 3000
Answer:
P = 8000*(n -c)
Step-by-step explanation:
Profit is the difference between cost and selling price.
<u>For 8000 cars produced per month, the profit will be:</u>
11/12 because 1/2 is equal to 6/12 and 6/12 + 5/12=11/12 you cannot simplify
The general formula for an arithmetic sequence is:
<span>a(n) = a + d(n - 1) </span>
<span>a : first term </span>
<span>d : common difference (6) </span>
<span>n : number of the term </span>
<span>In your example, you are told the 6th term is 22. </span>
<span>a(6) = a + 6(6 - 1) = 22 </span>
<span>a + 30 = 22 </span>
<span>a = 22 - 30 </span>
<span>a = -8 </span>
<span>So now you have the general formula: </span>
<span>a(n) = -8 + 6(n - 1) </span>
<span>If you like you can simplify it: </span>
<span>a(n) = -8 + 6n - 6 </span>
<span>a(n) = 6n - 14 </span>
<span>Then you can plug in n = 50: </span>
<span>a(50) = 6(50) - 14 </span>
<span>= 300 - 14 </span>
<span>= 286</span>
To determine the marginal cost of the production, one needs to derive the given equation for the cost,
c(x) = 6x4 - 30x3 - 54x2 + x + 2
The derivative of the equation in terms of x is as reflected below.
c'(x) = 24x3 - 90x2 - 108x + 1
Equate the derivative to zero in order to determine the value of x .
c'(x) = 0 = 24x3 - 90x2 - 108 + 1
The value of x from the equation is 4.025.
Substituting x to the original equation,
c(x) = -1254.35 and at c(0) = 2
