The company wants to print 8000 newspapers daily. How many magazines at most can the company print daily with the remaining number of ink cartridges?

A

The company can print 800 magazines at most.

B

The company can print 2500 magazines at most.

C

The company can print 6000 magazines at most.

D

The company can print 8000 magazines at most.

The company wants to print 8000 newspapers daily How many magazines at most can the company print daily with the remaining number of ink cartridgesAThe company class=

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Answer:

Option A.  

The company can print [tex]800[/tex] magazines at most

Step-by-step explanation:

Let

N------> the number of newspapers

M------> the number of magazines

we know that

[tex]0.5N+2.5M\leq 6,000[/tex]

For [tex]N=8,000[/tex]

Substitute the value of N in the inequality and solve for M

so

[tex]0.5(8,000)+2.5M\leq 6,000[/tex]

[tex]4,000+2.5M\leq 6,000[/tex]

[tex]2.5M\leq 6,000-4,000[/tex]

[tex]2.5M\leq 2,000[/tex]

[tex]M\leq 800\ magazines[/tex]

Answer: Option 'A' is correct.

Step-by-step explanation:

Since we have given that

0.5N+ 2.5M ≤ 6000

Number of newspaper sold = 8000

We need to find the possible number of magazines that to be sold.

Put the value of N = 8000.

So, we get that

[tex]0.5\times 8000+2.5M\leq 6000\\\\4000+2.5M\leq 6000\\\\2.5M\leq 6000-4000\\\\2.5M\leq 2000\\\\M\leq \dfrac{2000}{2.5}\\\\M\leq 800[/tex]

so, the company can print 800 magazines at most.

Hence, option 'A' is correct.