,,, kindly solve the following
Katharine Johnson is the owner of Better Bikes, a company that produces high quality cross-country bicycles. Better Bikes participates in a supply chain that consists of Suppliers, manufacturers, distributors, and elite bicycle shops. For several years Better Bikes has purchased titanium from suppliers in the supply chain. Better Bikes uses titanium for the bicycle frames because it is stronger and lighter than other metals and therefore increases the quality of the bicycle. Earlier this year, Better Bikes hired Samson, a recent graduate from StateUniversity, as purchasing manager. Michael believed that he could reduce costs if he purchased titanium from an online marketplace at a lower price. I Compute the direct materials price and efficiency variances. What factors can explain the variances identified In requirement 1? lEould any other variances be affected? Was switching suppliers a good idea for Better Bikes? Explain why or why not. Should Michael Samson's performance evaluation be based solely on pricevariances? Should the production manager's evaluation be based solely on efciency variances? Why is it important for Katharine Johnson to understand the causes of a variance before she evaluates performance? lDther than performance evaluation, what reasons are there for calculatingvariances? 6. What future problems could result from Better Bikes' decision to buy a lower quality of titanium from the online marketplace? i Data Table X Better Bikes established the following standards based upon the company's experience with their previous suppliers. The standards are as follows: Cost of titanium $ 23 per pound Titanium used per bicycle 8 lbs. Actual results for the first month using the online supplier of titanium are as follows: Bicycles produced 500 Titanium purchased 6,500 lb. for $143,000 Titanium used in production 5,000 lb. Requirement 1. Compute the direct materials price and efficiency variances. Let's begin by calculating the cost for the actual input at the budgeted price. Actual input Budgeted price Cost Direct materials (purchases) Direct materials (usage)1. A time domain real-signal x ( t ) has a Fourier Transform property of X (w ) = X* (-w). Consider the following frequency domain description of a signal G ( w ) : G(@)= 2, 5 5 0 510 0, elsewhere (a) Evaluate g (t ) using the definition of Inverse Fourier Transformation 8(1)= jawedw Plot G(w), Re(g (t) ), and Im(g (t ) ) in a 3x1 subplot for the interval w--31. 4: 0. 01: 31 . 4 and t=-100:0. 1: 100. (b) Now consider Y (w) =G(@-5). Plot Y (w), Re(y (t) ), and Im(y (t) ) in a 3x1 subplot with the same intervals. (c) Are g (t ) and y ( t ) real-signal or complex signal? 2. When the signal g (t ) goes through a filter h (t ) where the frequency domain definition of the filter is: H(@)= 5 00. |0 5 20 0, elsewhere the results in a time domain output signal: m( t). (a) Using convolution theorem, calculate the frequency domain output signal M ( w ) . Plot the magnitude and phase of M( w) in a 2x1 subplot for the interval W=-31 . 4:0. 01:31.4. (b) Evaluate m(t ) using the definition of Inverse Fourier Transformation. Plot Re(m( t) ) and Im(m ( t ) ) in a 2x1 subplot for the interval t=-100 :0. 1 : 100. 3. Calculate the energy of the output signal m (t) for the time range t=-100:0. 1: 100. Also evaluate the energy of the output signal in frequency domain using Parseval's theorem (use the frequency range W=31. 4:0.01:31.4).Introduction to MATLAB Calculations & Plotting Solve the following problems using code generated in MATLAB in a script file (m-file) or a live script file (mix-file). To submit your assignment, publish your code using the MATLAB publisher to a PDF file. Upload your m-file, mix-file (if generated using live script), and your PDF file (upload files separately-no zipped folders, please). Use %% to separate your script files into sections for each problem. Print/report all of your output using the "fprintf" function to show it at the end of each section/problem. 1. The surface to volume ratio of the earth is 7.5753 x 10* miles. Determine an approximate diameter for the earth. 2. The length L of a belt that traverses two pulley wheels, one of radius R and one of radius r and whose centers are distance S apart is given by L = 25coso + IT(R + r) + 20(R -r); where 0 = sin"'((R-r)/5) Determine L when R = 30 cm, r =12 cm, and $ =50 cm. (Remember: MATLAB likes angles in radians)
