QUANTITATIVE ANALYSIS IN MANAGEMENT DECISIONA firm manufactures two products; the net profit on product 1 is Rupees 3 per unit and Rupees 5 per unit on product 2. The manufacturing process is such that each product has to be processed in two departments D1 and D2. Each unit of product1 requires processing for 1 minute at D1 and 3 minutes at D2; each unit of product 2 requires processing for 2 minutes at D1 and 2 minutes at D2. Machine time available per day is 860 minutes at D1 and 1200 minutes at D2. How much of product 1 and 2 should be produced every day so that total profit is maximum. (solve with graphical method)Use the graphical method to solve the LPPMaximize Z = 2X1 + 4X2Subject to constraints:X1 + 2X2 ≤ 5X1 + X2 ≤ 4And X1, X2 ≥ 0Write the dual of following problems:Maximize Z = 7X1 + 5X2Subject to:X1 + 2X2 ≤ 64X1 + 3X2 ≤ 12X1, X2 ≥ 0Maximize Z= 3X1 + 4X2Subject to:5X1 + 4X2 ≤ 2003X1 + 5X2 ≤ 1505X1 + 4X2 ≥ 1008X1 + 4X2 ≥ 80X1, X2 ≥ 0Determine initial basic feasible solution to the following transportation problem using the north west corner rule. D1D2D3D4AvailabilityO1641514O289271 6O343625Requirement61015435Obtain an initial basic feasible solution to the following transportation problem using Vogel’s approximation method. D1D2D3D4A513334B335415C644312D4-142 192125171780

“wonderful! not only did our salespeople do a good job in meeting the sales budget this year, but our production people did a good job in controlling costs as well,” said kim clark, president of martell company. “our $11,150 overall manufacturing cost variance is only 3% of the $1,536,000 standard cost of products made during the year. that’s well within the 3% parameter set by management for acceptable variances. it looks like everyone will be in line for a bonus this year.” the company produces and sells a single product. the standard cost card for the product follows: standard cost card—per unit direct materials, 4.00 feet at $4.00 per foot $ 16.00 direct labor, 1.1 direct labor-hours at $13 per direct labor-hour 14.30 variable overhead, 1.1 direct labor-hours at $2.40 per direct labor-hour 2.64 fixed overhead, 1.1 direct labor-hours at $6.50 per direct labor-hour 7.15 standard cost per unit $ 40.09the following additional information is available for the year just completed: a. the company manufactured 20,000 units of product during the year.b. a total of 77,000 feet of material was purchased during the year at a cost of $4.25 per foot. all of this material was used to manufacture the 20,000 units. there were no beginning or ending inventories for the year.c. the company worked 24,000 direct labor-hours during the year at a direct labor cost of $12.50 per hour.d. overhead is applied to products on the basis of standard direct labor-hours. data relating to manufacturing overhead costs follow: denominator activity level (direct labor-hours) 19,000 budgeted fixed overhead costs $ 123,500 actual variable overhead costs incurred $ 64,800 actual fixed overhead costs incurred $ 120,900required: 1. compute the materials price and quantity variances for the year. (round standard price and actual price to 2 decimal places. indicate the effect of each variance by selecting "f" for favorable, "u" for unfavorable, and "none" for no effect (i.e., zero 2. compute the labor rate and efficiency variances for the year. (round standard rate and actual rate to 2 decimal places. indicate the effect of each variance by selecting "f" for favorable, "u" for unfavorable, and "none" for no effect (i.e., zero 3. for manufacturing overhead compute: a. the variable overhead rate and efficiency variances for the year. (round standard rate and actual rate to 2 decimal places. indicate the effect of each variance by selecting "f" for favorable, "u" for unfavorable, and "none" for no effect (i.e., zero b. the fixed overhead budget and volume variances for the year. (indicate the effect of each variance by selecting "f" for favorable, "u" for unfavorable, and "none" for no effect (i.e., zero

Which statement about the cost of the options is true? she would save $1,000 by choosing option b. she would save $5,650 by choosing option a. she would save $11,200 by choosing option b. she would save $11,300 by choosing option a.

Suppose your rich uncle gave you $50,000, which you plan to use for graduate school. you will make the investment now, you expect to earn an annual return of 6%, and you will make 4 equal annual withdrawals, beginning 1 year from today. under these conditions, how large would each withdrawal be so there would be no funds remaining in the account after the 4th withdraw?