Greetings tutor, I need your help with question 7 and 8 urgently! I have attached the cost function below for your kind reference. My answer in question 5 and 6 if for your kind reference.

Thank you!!

6. Use the methods of calculus to nd the (absolute) minimum cost over the Interval (0, m') [We can't let x = Din our cost function; do you see why?]. include a sign analysis for the derivative function. Show ALL work In computing the critical points. Be sure that you explain why any relative minimum you nd is also an absolute minimum (since this does not automatically follow). Round nal values to 2-declmal places. Recreate the summary table below (with entries lled in) as part of your write-up for this part. x-values of critical -oints x-value resulting In absolute minimum cost over the interval (0, mt) (2-decimal . laces Absolute minimum cost (round to nearest . enn 7. Graph the cost function over the interval [0. 12] using W or other software (not by hand). Include the graph for your work in the problem. Also, mark the absolute minimum point on the graph, rounding the x- and y- values to 2-decimal places. Choose a vertical scale that allows the reader to see that there Is clearly a minimum at your critical point. 8. We can't print a non-integer number of print runs in reality so in the real world It must be an integer. Evaluate your cost function and determine the integer number of print runs that minimize total yearly costs. Show what values you computed in determining your minimum yearly cost; you should consider the Integers on both sides of your critical point. How many (Integer) print runs should we make per year? What will be the (minimum) total yearly costs for this number of runs? State nal answer in sentence form. How much more do we have to pay If we use an Integer number of print runs to minimize costs as compared to if we could do any decimal (fractional) number of print runs? 72,000 5 ) -> C'(x ) - 5000 * + 1700,000+ 2 6. Use the methods of calculus to find the (absolute) minimum cost over the interval (0, ") [We can't let x = 0 in our cost function; do you see why?]. Include a sign analysis for the derivative function. Show ALL work in computing the critical points. Be sure that you explain why any relative minimum you find is also an absolute minimum (since this does not automatically follow). Round final values to 2-decimal places. Recreate the summary table below (with entries filled in) as part of your write-up for this part. x-values of critical points x-value resulting in absolute minimum cost over the interval (0, wo) (2-decimal places) Absolute minimum cost (round to nearest penny) do ( 74) = 5000 + 0-72000 / 72 = 0 X 2 - 72000 AHHTO 5000 - 7215 X - 6Vz/5 (zix ) 2.72 144 DOO dx - x3 d = ( ( 2 ) > 0 dy z Minimi at 61 215 X ~ 3. 79 C(x ) = 500DB 79 )+ 120goot 72000 12379 ) - 12379 47.33