In order to keep company profits at an acceptable level, they must keep their average cost per headset below $50. The average cost per headset can be calculated using the formula:

25x+50000/x

Question

In order to keep company profits at an acceptable level, they must keep their average cost per headset below $50.  The average cost per headset can be calculated using the formula:

25x+50000/x<=50

where x represents the number of headsets that are manufactured each month.  

B)  Amazon.com predicts that they can expect an initial sales month of 5,000 units.  After the initial month, the prediction is for 2025 units each month.  With the predicted sales, will the company be able to adequately sustain their costs below $50 per unit while meeting the demand?

mcba1234 · Answer

Do I put the 2025 is for x and then solve? If I solve it that way It does equal 50 and so my answer would be yes.

dumbcow · Answer

yes use x = 2025 and see if inequality holds

for initial month, x = 5000 you should get avg cost = 35