George’s t-shirt shop produces 5,000 custom printed t-shirts per month. george’s fixed costs are $15,000 per month. the marginal cost per t-shirt is a constant $4. what is his breakeven price? what would be george’s breakeven price if george were to sell 50% more shirts?

Respuesta :

Answer: Price is $7 when sale is 5000 and $6 when sale is 7,500 units.  

Explanation:

[tex]Total cost of George = Fixed cost + Variable Cost


= $15,000 + $4 (Units produced)


= $15,000 + $4(5000)


$15,000 + $20,000


= $35,000[/tex]


George will breakeven when his price is just sufficient to cost the total cost.  

[tex]Break even = Profit = 0


Total revenue - Total cost = 0


P*Q - $35,000 = 0


P*5000 = $35000


P= $35,000/5000


P=$7[/tex]

 

If George sells 50% more, then his sales is 7,500 units.  

[tex]Total cost of George = Fixed cost + Variable Cost


= $15,000 + $4 (Units produced)


= $15,000 + $4(7,500)


$15,000 + $30,000


= $45,000[/tex]


George will breakeven when his price is just sufficient to cost the total cost.


[tex]Break even = Profit = 0


Total revenue - Total cost = 0


P*Q - $45,000 = 0


P*7500 = $45000


P= $45,000/7,500


P=$6[/tex]

When sales is 5000 units price is $7. When sales is 7,500 units price is $6.