denise is in the business of manufacturing phones. she pays a cost of $50 per phone produced for materials…
denise is in the business of manufacturing phones. she pays a cost of $50 per phone produced for materials and labor and also must pay a daily fixed cost of $200 to rent the building and equipment. make a table of values and then write an equation for c, in terms of p, representing total cost, in dollars, of producing p phones in a given day.\n\n|number of phones manufactured|total cost to manufacture phones|\n|----|----|\n|0|\n|1|\n|2|\n|3|
Answer
Explanation:
Step1: Calculate cost for 0 phones
The fixed - cost is $200. When $p = 0$, the variable cost (cost per phone times number of phones) is $50\times0=0$. So the total cost $C$ is just the fixed cost. $C=200$
Step2: Calculate cost for 1 phone
The variable cost for 1 phone is $50\times1 = 50$, and the fixed cost is $200$. So the total cost $C=50\times1 + 200=250$.
Step3: Calculate cost for 2 phones
The variable cost for 2 phones is $50\times2=100$, and the fixed cost is $200$. So the total cost $C=50\times2 + 200=300$.
Step4: Calculate cost for 3 phones
The variable cost for 3 phones is $50\times3 = 150$, and the fixed cost is $200$. So the total cost $C=50\times3+200 = 350$.
Step5: Write the equation
The total cost $C$ has a fixed part of $200$ and a variable part that is $50$ times the number of phones $p$. So the equation is $C = 50p+200$.
| Number of Phones Manufactured ($p$) | Total Cost to Manufacture Phones ($C$) |
|---|---|
| 0 | 200 |
| 1 | 250 |
| 2 | 300 |
| 3 | 350 |
Answer:
The equation is $C = 50p + 200$