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jeka57 [31]
3 years ago
9

A local food truck specializes in gourmet grilled cheese sandwiches. Each month, the owners of the truck have a constant total o

f $7,900 in expenses (salaries, truck loan, etc.) and it costs $1.70 per sandwich to make each sandwich. The food truck sells its sandwiches for $7.75 each.
Mathematics
1 answer:
Ksju [112]3 years ago
4 0

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Fixed costs= $7,900

Unitary cost per sandwich= $1.7

Selling price per unit= $7.75

<u>To calculate the break-even point in units and dollars, we need to use the following formula</u>:

Break-even point in units= fixed costs/ contribution margin per unit

Break-even point in units= 7,900 / (7.75 - 1.7)

Break-even point in units= 1,306 sandwiches

Break-even point (dollars)= fixed costs/ contribution margin ratio

Break-even point (dollars)= 7,900 / (6.05 / 7.75)

Break-even point (dollars)= $10,120

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<h3>I'm solving it using substitution method:-</h3>

<h3>7x+2y=3 {given}</h3>

<h3>=>7x=3-2y</h3>

<h3>=>x=(3-2y)/7-------(1)</h3>

<h3>x-3y=30 {given}</h3>

<h3>=>x=30+3y</h3>

<h3>=>(3-2y)/7=30+3y {putting the value of x from eqn 1}</h3>

<h3>=>3-2y=210+21y</h3>

<h3>=>3-210=21y+2y</h3>

<h3>=>-207=23y</h3>

<h3>=>y= -207/23= -9</h3>

<h3>putting the value of y on eqn(1):-</h3>

<h3>x=(3-2y)/7</h3>

<h3>x=>(3-2(-9))/7=(3+18)/7=21/7=3</h3>

<h2>Hence, x=3, y= -9</h2>

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