Yter Outemanturand wh etreecot sleping bag The uble blowshows the pricedemnd and tl cot data where p the wheleule price nda a seping bag tor a weekly demand teeping bags Cthe tol cot arofproducingeing bap bleping hag as 240 13.000 120 Find a quadratic regr 235 14.300 155 18.500 220 21.000 Round a to the neare

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**Yaster Outfitters Educational Model Analysis**

**Table: Weekly Demand and Price Data for Sleeping Bags**

- Price: $120, Demand: 210 units
- Price: $110, Demand: 250 units
- Price: $100, Demand: 285 units

---

**Revenue Model**

Using the regression model computed above, find a model for the weekly revenue, using "x" as the independent variable.

**Note:** Do not calculate another regression. Use the price equation to find a model for revenue.

\[ R(x) = px \]

\[ R(x) = (ax + bx + c)x = ax^2 + bx^2 + cx^3 \]

---

**Cost Model**

Find a linear regression model for the weekly cost data, using "x" as the independent variable.

\[ C(x) = mx + k \]

- Round "m" to 1 decimal place, and round "k" to the nearest integer.

---

**Profit Model**

Use models computed to find a model for the weekly profit, using "x" as the independent variable.

\[ P(x) = r + ux + sx^2 + tx^3 \]

**Note:** Do not calculate another regression. Use the fact that profit is revenue minus cost.

Round "r" to the nearest integer, round "u" to 1 decimal place, round "s" to 2 decimal places, and round "t" to 4 decimal places.

---

**Graph Analysis**

The graph \[ y = r + ux + sx^2 + tx^3 \] has a negative y-intercept. In the context of profit for Yaster Outfitters coming from sleeping bags, what is the interpretation of this value?
Transcribed Image Text:**Yaster Outfitters Educational Model Analysis** **Table: Weekly Demand and Price Data for Sleeping Bags** - Price: $120, Demand: 210 units - Price: $110, Demand: 250 units - Price: $100, Demand: 285 units --- **Revenue Model** Using the regression model computed above, find a model for the weekly revenue, using "x" as the independent variable. **Note:** Do not calculate another regression. Use the price equation to find a model for revenue. \[ R(x) = px \] \[ R(x) = (ax + bx + c)x = ax^2 + bx^2 + cx^3 \] --- **Cost Model** Find a linear regression model for the weekly cost data, using "x" as the independent variable. \[ C(x) = mx + k \] - Round "m" to 1 decimal place, and round "k" to the nearest integer. --- **Profit Model** Use models computed to find a model for the weekly profit, using "x" as the independent variable. \[ P(x) = r + ux + sx^2 + tx^3 \] **Note:** Do not calculate another regression. Use the fact that profit is revenue minus cost. Round "r" to the nearest integer, round "u" to 1 decimal place, round "s" to 2 decimal places, and round "t" to 4 decimal places. --- **Graph Analysis** The graph \[ y = r + ux + sx^2 + tx^3 \] has a negative y-intercept. In the context of profit for Yaster Outfitters coming from sleeping bags, what is the interpretation of this value?
The image presents a series of mathematical questions and tasks related to rounding numbers. It includes the following prompts:

1. "What is \( r \)? Round to the nearest integer."
   - Input box provided for the answer.

2. "What is \( u \)? Round to 1 decimal place."
   - Input box provided for the answer.

3. "What is \( v \)? Round to 1 decimal place."
   - Input box provided for the answer.

4. "What is \( s \)? Round to 2 decimal places."
   - Input box provided for the answer.

5. "What is \( t \)? Round to 4 decimal places."
   - Input box provided for the answer.

There is a task related to estimating weekly profit:
- "Use the weekly profit model to estimate the total weekly profit when the weekly production is 151. Round to the nearest dollar."
   - Input box provided for the dollar amount.

No graphs or diagrams are present in the image.
Transcribed Image Text:The image presents a series of mathematical questions and tasks related to rounding numbers. It includes the following prompts: 1. "What is \( r \)? Round to the nearest integer." - Input box provided for the answer. 2. "What is \( u \)? Round to 1 decimal place." - Input box provided for the answer. 3. "What is \( v \)? Round to 1 decimal place." - Input box provided for the answer. 4. "What is \( s \)? Round to 2 decimal places." - Input box provided for the answer. 5. "What is \( t \)? Round to 4 decimal places." - Input box provided for the answer. There is a task related to estimating weekly profit: - "Use the weekly profit model to estimate the total weekly profit when the weekly production is 151. Round to the nearest dollar." - Input box provided for the dollar amount. No graphs or diagrams are present in the image.
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