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question 4: if anjali needs to get c months, what is the least expensiv…

Question

question 4: if anjali needs to get c months, what is the least expensive plan?

least expensive plan for c

manuel is excited about the doordish service that delivers single - serving cooked meals to your door, which has two payment plans:

  • no plan, with a cost of $23 per meal
  • simple plan, with an enrollment fee of $156 and a cost of $10 per meal

question 5: what is the number of meals where the cost of no plan and a simple plan are the same (known as the breakeven point)?

question 6: if manuel expects to order 3 meals, which plan should he choose?

Explanation:

Response
Question 4

Step1: Analyze cost graph at C

At month C, the "Basic plan" line is the lowest (least cost) among the three options on the graph.

Step1: Define cost equations

Let $x$ = number of meals.
No plan cost: $C_1 = 23x$
Simple plan cost: $C_2 = 156 + 10x$

Step2: Set costs equal (breakeven)

Set $C_1 = C_2$:
$23x = 156 + 10x$

Step3: Solve for x

Subtract $10x$ from both sides:
$13x = 156$
$x = \frac{156}{13} = 12$

Step1: Calculate cost for 3 meals

No plan: $23 \times 3 = 69$
Simple plan: $156 + 10 \times 3 = 186$

Step2: Compare costs

$69 < 186$, so no plan is cheaper.

Answer:

Basic plan

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Question 5