A 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 LPP
Maximize Z = 2X1 + 4X2
Subject to constraints:
X1 + 2X2 ≤ 5
X1 + X2 ≤ 4
And X1, X2 ≥ 0
Write the dual of following problems:
Maximize Z = 7X1 + 5X2
Subject to:
X1 + 2X2 ≤ 6
4X1 + 3X2 ≤ 12
X1, X2 ≥ 0
Maximize Z= 3X1 + 4X2
Subject to:
5X1 + 4X2 ≤ 200
3X1 + 5X2 ≤ 150
5X1 + 4X2 ≥ 100
8X1 + 4X2 ≥ 80
X1, X2 ≥ 0

Determine initial basic feasible solution to the following transportation problem using the north west corner rule.

D1
D2
D3
D4
Availability

O1
6
4
1
5
14

O2
8
9
2
7
16

O3
4
3
6
2
5

Requirement
6
10
15
4
35

Obtain an initial basic feasible solution to the following transportation problem using Vogel’s approximation method.

D1
D2
D3
D4

A
5
1
3
3
34

B
3
3
5
4
15

C
6
4
4
3
12

D
4
-1
4
2
19

21
25
17
17
80

Kiona co. set up a petty cash fund for payments of small amounts. the following transactions involving the petty cash fund occurred in may (the last month of the company's fiscal year). may 1 prepared a company check for $350 to establish the petty cash fund. 15 prepared a company check to replenish the fund for the following expenditures made since may 1. a. paid $109.20 for janitorial services. b. paid $89.15 for miscellaneous expenses. c. paid postage expenses of $60.90. d. paid $80.01 to the county gazette (the local newspaper) for an advertisement. e. counted $26.84 remaining in the petty cashbox. 16 prepared a company check for $200 to increase the fund to $550. 31 the petty cashier reports that $380.27 cash remains in the fund. a company check is drawn to replenish the fund for the following expenditures made since may 15. f. paid postage expenses of $59.10. g. reimbursed the office manager for business mileage, $47.05. h. paid $48.58 to deliver merchandise to a customer, terms fob destination. 31 the company decides that the may 16 increase in the fund was too large. it reduces the fund by $50, leaving a total of $500.

Zachary company produces commercial gardening equipment. since production is highly automated, the company allocates its overhead costs to product lines using activity-based costing. the costs and cost drivers associated with the four overhead activity cost pools follow: activities unit level batch level product level facility level cost $ 64,800 $ 27,730 $ 15,000 $ 154,000 cost driver 2,400 labor hrs. 47 setups percentage of use 11,000 units production of 780 sets of cutting shears, one of the company’s 20 products, took 240 labor hours and 7 setups and consumed 15 percent of the product-sustaining activities. required: (a) had the company used labor hours as a company wide allocation base, how much overhead would it have allocated to the cutting shears? (b) how much overhead is allocated to the cutting shears using activity-based costing? (c) compute the overhead cost per unit for cutting shears first using activity-based costing and then using direct labor hours for allocation if 780 units are produced. if direct product costs are $150 and the product is priced at 30 percent above cost for what price would the product sell under each allocation system? (d) assuming that activity-based costing provides a more accurate estimate of cost, indicate whether the cutting shears would be over- or underpriced if direct labor hours are used as an allocation base. explain how over-or undercosting can affect vaulker's profitability. (e) comment on the validity of using the allocated facility-level cost in the pricing decision. should other costs be considered in a cost- plus pricing decision? if so, which ones? what costs would you include if you were trying to decide whether to accept a special order?

Advanced enterprises reports year-end information from 2018 as follows: sales (160,250 units) $968,000 cost of goods sold 641,000 gross margin 327,000 operating expenses 263,000 operating income $64,000 advanced is developing the 2019 budget. in 2019 the company would like to increase selling prices by 14.5%, and as a result expects a decrease in sales volume of 9%. all other operating expenses are expected to remain constant. assume that cost of goods sold is a variable cost and that operating expenses are a fixed cost. should advanced increase the selling price in 2019?