Business Mathematics IITeam Homework #2Business Mathematics IITeam Homework #2forMath 115b, Section: 001Instructor: BridgesDue Date: Wed June 13 , 2012ByTeam #: _____We, the undersigned, affirm that each of us participated fully and equally in the completion of this assignment and that the work contained herein is original. Furthermore, we acknowledge that sanctions will be imposed jointly if any part of this work is found to violate the Student Code of Conduct, the Code of Academic Integrity, orthe policies and procedures established for this course. _____________________________ ______________________________Name (printed) Signature_____________________________ ______________________________Name (printed) Signature______________________________ ______________________________Name (printed) Signature______________________________ ______________________________Name (printed) Signature______________________________ ______________________________Name (printed) Signature1PLEASE COPY THE COVER SHEET OF THIS ASSIGNMENT ON WHICH EACH TEAM MEMBER, WHO CONTRIBUTED EQUALLY TO THIS ASSIGNMENT, WILL PRINT AND SIGN HIS OR HER NAME. ALSO, TYPE YOUR ANSWERS TO PROBLEMS 2,3,4,5 AND STAPLE THEM TO THE COVER SHEET. THEN HAND THIS IN WITHYOUR JUMP DRIVE THAT CONTAINS AN EXCEL FILE NAMED ‘MATH 115B TEAM #__’ AND CONTAINS THE SOLUTION TO PROBLEM #1.PROBLEM #1PLACE THIS PROBLEM IN AN EXCEL FILE NAMED ‘Math 115B Team #__’. IN THIS FILE, PLACE YOUR SOLUTIONS TO THE FOLLOWING PROBLEMS. WHEN I CLICK ON A CELL, I MUST BE ABLE TO SEE THE UNDERLYING FORMULA IF THERE IS ONE. ALSO, WHEN I CLICK ON A CHART, I MUST BE ABLE TO SEE EXACTLY HOW THE CHART WAS OBTAINED. Use YOUR TEAM’S DATA and the tools and methods discussed in class to do the following:(a) Extend your “Big Daddy” chart to include columns for MR(q), MC(q), and MP(q). Be sure to include enough values of q so that the graphs of MR(q), and MP(q) intersect both axes. Do not use the method that your e-text uses.(b) Graph MR(q) and MC(q) on the same graph. Trim the graph so that the functions just cross the q-axis. Use this graph to estimate the quantity that wouldgive maximum profit.(c) Graph MP(q). Trim the graph so that the function just crosses the q-axis. Use this graph to estimate the quantity, q, that would give maximum profit – this is called the optimal quantity.(d) Compare your graph of MP(q) to your graph of P(q). Is the optimal quantity that you found in part (c) above consistent with the optimal quantity shown in the graph of P(q). This is called the estimated optimal quantity.(e) Use Solver to find the answers to the following questions to at least 3 decimal places. Notice that these questions are numbered the same way as your project. Write your solutions to these questions in complete sentences and place these sentences under your graph of MP(q).BEFORE RUNNING SOLVER, PUT YOUR ESTIMATED OPTIMAL QUANTITY IN THE q CELL OF YOUR SOLUTION STRIP.(1) What price should your company put on your commodity to achieve maximum profit?(2) How many items can you expect to sell at the optimum price?(3) What maximum profit can be expected from the sales?2. Let g(x)=3.5(25.8( x+2)). Use the definition of the derivative with h = 0.001 to findg'(4). Be sure to clearly show all work. Use 6 decimal places in the working of this problem and round final answer to the nearest thousandth (3 decimal places). Circle your final answer.3. Find the equation of the line tangent to the graph of f(x)=5.32 x2−6.07 x+2.94 atx=3.00.You must clearly show all work. Give your answer rounded to two decimal places. Circle your final answer.4. Let .f(z)=56−zUse the definition of the derivative, with an increment of h = 0.001 to calculatef'(4) to 3 decimal places. NOTE: YOUR FINAL ANSWER MUST BE ACCURATE TO 3 DECIMAL PLACES, SO KEEP AT LEAST 6 DECIMAL PLACES IN THE INNER WORKINGS OF THIS PROBLEM. SHOW ALL WORK CLEARLY AND LOGICALLY. 5. Let f(x)=9∗g(x)−4 x3+7 x and let g'(x)=5x. What is f'(3) ? SHOW ALL
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