Mathematics: Mr Kent sells calculators for $35 each. If an order is placed from a business account, there is a $50 shipping fee, and no fewer than 100 calculators can be purchased. Which is a reasonable amount of money that a business would spend when ordering calculators?

Mr Kent sells calculators for $35 each. If an - id3513720694, kookycookiefanx

Sarahinator04

11.07.2021

The reasonable amount is $3550 or greater

Step-by-step explanation:

Given

$c=\$50$ ---- shipping fee

$r =\$35$ --- unit selling price

$n \to$ number of orders

$n \ge 100$ ---- domain of order

Required

The reasonable ordering amount

The function for n calculator can be represented as:

f(n) = r * n + c

This gives:

f(n)=35 * n + 50

f(n)=35n + 50

Recall that the domain is: $n \ge 100$

So, we have:

f(n)=35n + 50 $n \ge 100$

The reasonable amount of order implies that we calculate the range of the function

$n \ge 100$ implies that the minimum is 100

So:

Substitute 100 for n in f(n)=35n + 50

f(100) = 35 * 100+50

f(100) = 3500+50

f(100) = 3550

So, the range of the function is:

$3550 \le f(n) < \infty$

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