How do I solve this question?

This is an inequality world problem I assume, but I haven't been able to figure it out.

enter image source here

2 Answers

See below.

Explanation:

Calling

#a = 20#
#b = 35#

then

  • #n_a + n_b ge 20000#
  • #n_a ge 10000#
  • #n_b ge 5000#

and finally

#a*n_a+b*n_b ge 300000#

Nov 6, 2017

It is unclear what the question is (and I only see one, not three).
It appears to be a linear programming problem (see below)

Explanation:

If #x# are the number of tickets sold at #$20#
and #y# are the number of tickets sold at #$35#

The restrictions are
#color(white)("XXX")x+y >= 20,000#
#color(white)("XXX")x >= 10,000#
#color(white)("XXX")y >=5,000#
#color(white)("XXX")20x+35y >=300,000#

Normally this type of problem would have some upper limit (for example to the total number of tickets sold).

Graphically here is what we have:
enter image source here
with the solution set extending upward and to the right infinitely (using only the given constraints).

Without an actual question, this is the best that I can do.