Question

question 4: if wayne needs to order c meals, what is the least expensive plan?
least expensive plan for c: no plan
miranda is evaluating the stratosafe cloud storage service that can safely store terabytes of data, which has two payment plans:

• no plan, with a cost of $15 per terabyte
• basic plan, with an enrollment fee of $88 and a cost of $4 per terabyte

question 5: what is the number of terabytes where the cost of no plan and a basic plan are the same (known as the \breakeven point\)?
question 6: if miranda expects to store 10 terabytes, which plan should she choose?

Explanation:

Question 5

Step1: Define cost equations

Let $x$ = number of terabytes.
No plan cost: $C_{no} = 15x$
Basic plan cost: $C_{basic} = 88 + 4x$

Step2: Set costs equal for breakeven

$$15x = 88 + 4x$$

Step3: Solve for $x$

$$15x - 4x = 88$$
$$11x = 88$$
$$x = \frac{88}{11} = 8$$

Question 6

Step1: Calculate no plan cost

$C_{no} = 15 \times 10 = 150$

Step2: Calculate basic plan cost

$C_{basic} = 88 + 4 \times 10 = 128$

Step3: Compare the two costs

$128 < 150$, so choose Basic plan.

Answer:

Question 5: 8
Question 6: Basic plan