A team comprising of three people is working on a big project, wh… - Vidyadip

Question

A team comprising of three people is working on a big project, which involves data entry, with subsequent processing of this data and making a poster presentation.
Obviously each member of the team has different abilities in performing each task. Accordingly, Rhythm can make 1 poster or 400 data entries in a day. Hard-working Smith can make 2 posters or 1,200 data entries in a day. Stephen can make 3 posters or 900 data entries in a day.

(i) Initially if the entire team works on data entry, how many entries can be made in a day?
(ii) Eventually you wish to shift one member to the task of poster making whom would you shift and why?
(iii) Reassigning team members from data entry to making posters implies what about the shape of PPC?

✓

Answer

(i) 400+ 1,200 + 900 2,500 data entries in a day.

(ii)

Name of Teammate	Data Entries (in a day)	Poster (in a day)	Opportunity Cost of each Poster (in terms of data entry)
Rhythm	400	1	$\frac{400}{1}=400$
Smith	1,200	2	$\frac{1,200}{2}=600$
Stephen	900	3	$\frac{900}{3}=300$

Shifting Stephen to the task of poster making is most attractive as it involves least data entries scarified (lowest opportunity cost).
(iii) Marginal opportunity cost is rising from 300 to 400 to 600 as we shift the team members from Use-1 (Data Entry) to Use-2 (Poster-making). This concave PPC is concave to the origin.

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