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Bunuel
Company X is considering two venues for holding an event. Venue A demands $100 per guest. Venue B demands $3000 fixed cost and an additional $40 per guest. What is the minimum number of guests that's the event must expect for the venue B to have a greater economic value?

A 30
B 40
C 50
D 51
E 60

Venue B will charge $40 per guest (and fixed cost of $3000) while venue A will charge $100 per guest so venue A charges $60 extra per guest compared with B.

Venue B will cost the same as venue A when the number of guests are such that this 3000 accounts for all $60 extras i.e there are 3000/60 = 50 guests.

For each additional guest, venue B will only charge $40 while venue A will charge $100. So venue B will become cheaper the moment the number of guests become more than 50 i.e. 51.

Answer (D)
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Let total guests required for event be x
We need to make venue B economic value be greater than that of venue A
This means that economic value of A is more than that of B or we can say:

3000+40x<100x
3000<60x
50<x
so at 50 guests we will have a breakeven but at x=51 the economic value of venue B will be more than venue A.
Option D



Bunuel
Company X is considering two venues for holding an event. Venue A demands $100 per guest. Venue B demands $3000 fixed cost and an additional $40 per guest. What is the minimum number of guests that's the event must expect for the venue B to have a greater economic value?

A 30
B 40
C 50
D 51
E 60

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