8/16/2019 1.- Workshop on Balance of Materials (1)

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WORKSHOP – BALANCE OF MATERIALS

A manufacturing company produces two kinds of products X, Y, from raw materials

E, C. X and Y are related in such a way that the production of Y in kilograms is five

times larger than the production of X. Raw materials are used as follows: !"# $gof E and "# $g of C with a non%usa&le waste of ## kg for an ' hour shift.

(he company now intends to e)pand its plant integrating it vertically, so it can

manufacture one of the raw materials, E, with the su&se*uent drop in production

costs.

Reviewing the technical literature managers found the following process for 

manufacturing product E:

% Raw materials A and + are used as inputs.

% Consumption of A in $g is '! of E.

% Consumption of + in $g is -! of E.

roduct E is made in two stages:

/n the first stage raw material A undergoes a process 0R1 which generates a

 &yproduct 2 0E*uivalent &y weight to 3"4 of A1 and an intermediate product 5.

(he production of 5 in kg corresponds to !#4 of the weight of A. 5uring the

 process 0R1 there is a non%recovera&le manufacturing loss.

/n the second production stage, the intermediate product 5 undergoes a new process

061 with raw material +.

(he production process 061 with materials 5 and + generates losses corresponding

 &y weight to "4 of raw material + employed in the process.

/n the same production process 061, a &yproduct 7 is generated in a proportion

e*uivalent &y weight to 3"4 of the sum of the weights of materials 5 and +.

rocess 061 generates a product E, which is currently used as raw material for the

 plant.

(he production &y weight of material E, o&tained from process 061 corresponds to

8"-' of the com&ined weight of materials 5 and +.

Requested:. % 2ake a flowchart of the current process of the factory.

3. % 5etermine the current daily production of final products X and Y 0&efore the

e)pansion1.

8. % 2ake a flowchart of the new factory production, integrating it with the current

one.

-. % 5etermine the daily needs of raw material inputs A and + in order to o&tain, in

the new factory 0that is, in the integrated solution1, the same current production of X

and Y.

". % 5etermine the production of &yproducts 2 and 7, resulting in the new

 production scheme.

9. % 5etermine $g losses in processes 0R1 and 061.!.% ow would you check the results as correct;

% o %