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question 4: if arthur needs to store c terabytes, what is the least exp…

Question

question 4: if arthur needs to store c terabytes, what is the least expensive plan?
least expensive plan for c:
mike is excited about the foodferry service that delivers single - serving cooked meals to your door, which has two payment plans:

  • no plan, with a cost of $29 per meal
  • basic plan, with a subscription fee of $228 and a cost of $10 per meal

question 5: what is the number of meals where the cost of no plan and a basic plan are the same (known as the “breakeven point”)?
question 6: if mike expects to order 19 meals, which plan should he choose?

Explanation:

Response
For Question 5:

Step1: Define variables and equations

Let $x$ = number of meals.
Cost of No plan: $C_n = 29x$
Cost of Basic plan: $C_b = 228 + 10x$

Step2: Set costs equal (breakeven)

$29x = 228 + 10x$

Step3: Solve for $x$

$29x - 10x = 228$
$19x = 228$
$x = \frac{228}{19}$

Step1: Calculate cost of No plan

$C_n = 29 \times 19 = 551$

Step2: Calculate cost of Basic plan

$C_b = 228 + 10 \times 19 = 228 + 190 = 418$

Step3: Compare the two costs

$418 < 551$, so Basic plan is cheaper.

Answer:

12

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For Question 6: