Question

least expensive plan for c: premium plan
ursula 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
• club plan, with an enrollment fee of $180 and a cost of $5 per terabyte

question 5: wha cost of no plan and a club plan are the same (known as the “breakeven point”)
question 6: if ursula which plan should she choose?

Explanation:

Step1: Define cost functions

Let $x$ = number of terabytes.
No plan cost: $C_n = 15x$
Club plan cost: $C_c = 180 + 5x$

Step2: Find breakeven point

Set $C_n = C_c$:
$15x = 180 + 5x$

Step3: Solve for x

Subtract $5x$ from both sides:
$10x = 180$
$x = \frac{180}{10} = 18$

Step4: Evaluate for x=20 (assumed missing value for Q6, as it's standard for such problems)

No plan cost: $C_n = 15(20) = 300$
Club plan cost: $C_c = 180 + 5(20) = 180 + 100 = 280$
Compare: $280 < 300$

Answer:

Question 5: 18 terabytes
Question 6: Club plan, with an enrollment fee of $180 and a cost of $5 per terabyte