# Problem 1

In a manufacturing unit, raw material passes through four processes I, II, III and IV and the output of each process is the input of the subsequent process. The loss in the four processes I, II, III and IV are respectively 25%, 20%, 20% and 16$\frac{2}{3}$% of the input. If the end product at the end process IV is 40,000 kg, what is the quantity of raw material required to be fed at the beginning of process I and the cost of the same at 5 per kg.

Find out also the effect of increase of decrease in the material cost of the end product for variation of every unit currency in the cost of the raw material.

Solution Will update soon

# Problem 2

Product X is processed by passing chemical C through four processes where the output of the earlier process becomes the input of the subsequent process. The loss of materials expressed as percentage of input is as follow:

Process I - 20%, II - 10%, III-16$\frac{2}{3}$%, IV - 8$\frac{1}{3}$%.

The material lost in each process does not have any resale value.

Calculate:

1. The cost per kg. of product X, if the cost of chemical 'C' is 8 per kg. and
2. The capacity of the process plants for process I, II, III and IV to hold the material for process expressed in metric tonnes of input for each process, if two conditions are be fulfilled, viz.,
1. 20% of the space is to be allowed for chemical reactions, and
2. The output of product X from the final process (Process IV) is expected to be 5 metric tones

Solution Will update soon

# Problem 3

A product passes through three processes, A, B and C 10,000 units at a cost 1.10 were issued to process A. The other direct expenses were as follows:
Process A Process B Process C
Sundry materials
Direct Labour
Direct expenses
1,500
4,500
1,000
1,500
8,000
1,000
1,500
6,500
1,503

The wastage of Process A was 5% and in Process B 4%. The wastage of Process A was sold at 0.25 per unit and that of B at 0.50 per unit and that of C at 1.00 per unit.

The overhead charges were 160% of direct labor. The final product was sold at 10 per unit, fetching a profit of 20% on sales. Find the percentage of wastage in Process C.

Solution Will update soon

# Problem 4

An article passes through three successive operations from the raw material to the finished product stage. The following data are available from the production records of particular month:
Operation No. Input
(No. of Pcs.)
Rejected
(No. of Pcs.)
Output
(No. of Pcs.)
1
2
3
60,000
66,000
48,000
20,000
6,000
8,000
40,000
60,000
40,000
1. Determine the input required to be introduced in the first operation in number of pieces in order to obtain finished output of 100 pieces after the last operation.
2. Calculate the cost of raw material required to produce one piece of finished product, given the following information:

Weight of the finished piece if 0.10 kg and the price of raw material is 20 per kg.

Solution Will update soon