You pay $250 for canning supplies plus $0.50 for each food item you can.
a. How many canned items must you complete for the average cost per canned item to fall to $1?
canned items

Respuesta :

Answer:

500

Step-by-step explanation:

Let the items canned be y

The average cost includes supply cost and cost of canning then divided by items canned.

Cost incurres for both canning and supplying y items will be $(0.5y+250)

The average cost is $1

Since average cost is given by

[tex]\frac {0.5y+250}{y}[/tex]

Then given the value of average cost as $1

[tex]\frac {0.5y+250}{y}=1[/tex]

Making y the subject of formula

[tex]\frac {0.5y+250}{y}=1\\0.5y+250=y\\0.5y=250\\y=250/0.5=500\\y=500[/tex]

Therefore, canned items are 500

The number of canned items should be 500.

Calculation of a number of canned items:

Since You pay $250 for canning supplies plus $0.50 for each food item you can.

Let us assume the items canned be y

So, Cost incurres for both canning and supplying y items will be $(0.5y+250)

Now

The average cost should be [tex]0.5y + 250 \div y = 1\\\\[/tex]

0.5y + 250 =  y

0.5y = 250

y = 500

Hence, we can conclude that The number of canned items should be 500.

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