text: 28 November, 16:41
  
  # Tom has a weekly allowance of \$24, all of which he spends on pizza and movie rentals, whose prices are \$6 per slice and \$3 per rental, respectively. We can assume that pizza slices and movie rentals are available only in whole-number amounts.For the given levels of pizza consumption, calculate how many rentals Tom can afford with his remaining income. Fill out rentalsPizza Rentals1234Using the utility values in the table below, how many pizza slices and how many movie rentals should Tom consume each week to maximize his total utility?Pizza slices per week Utils/week from pizza Movie rentals per week Utils/week from rentals0 0 0 01 20 1 402 36 2 463 48 3 504 58 4 545 66 5 566 72 6 577 76 7 578 78 8 57
  
  +3
  1. 28 November, 17:26
  0
  Tom can afford 6 rentals and his utility is at maximum level, when he consumes 8 slices of pizza and rents 8 movies per week.
  
  Explanation:
  
  For the given utility equation 24\$ = 6*slice of pizza + 3*rented movie, where pizza levels are 1,2,3 and 4, we have:
  
  24 = 6*1 + 3 * x
  
  x = 6
  
  24 = 6*2 + 3*x
  
  x = 4
  
  24 = 6*3 + 3*x
  
  x = 2
  
  24 = 6*4 + 3*x
  
  x = 0
  
  His total utility is the sum of given utilities per week, which he has from slices of pizza eaten and movies rented. Therefore he should consume 8 slices of pizza and rent 8 movies per week.
explanation: The document contains a math problem related to budget allocation and utility maximization. It provides a scenario where Tom has a weekly allowance and must decide how to spend it on pizza and movie rentals. The document includes a table of utility values and asks how many pizza slices and movie rentals Tom should consume to maximize his total utility. It also provides an answer to the question, explaining the calculations and the optimal consumption levels.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: 28 November, 16:41
  
  # Tom has a weekly allowance of \$24, all of which he spends on pizza and movie rentals, whose prices are \$6 per slice and \$3 per rental, respectively. We can assume that pizza slices and movie rentals are available only in whole-number amounts.For the given levels of pizza consumption, calculate how many rentals Tom can afford with his remaining income. Fill out rentalsPizza Rentals1234Using the utility values in the table below, how many pizza slices and how many movie rentals should Tom consume each week to maximize his total utility?Pizza slices per week Utils/week from pizza Movie rentals per week Utils/week from rentals0 0 0 01 20 1 402 36 2 463 48 3 504 58 4 545 66 5 566 72 6 577 76 7 578 78 8 57
  
  +3
  1. 28 November, 17:26
  0
  Tom can afford 6 rentals and his utility is at maximum level, when he consumes 8 slices of pizza and rents 8 movies per week.
  
  Explanation:
  
  For the given utility equation 24\$ = 6*slice of pizza + 3*rented movie, where pizza levels are 1,2,3 and 4, we have:
  
  24 = 6*1 + 3 * x
  
  x = 6
  
  24 = 6*2 + 3*x
  
  x = 4
  
  24 = 6*3 + 3*x
  
  x = 2
  
  24 = 6*4 + 3*x
  
  x = 0
  
  His total utility is the sum of given utilities per week, which he has from slices of pizza eaten and movies rented. Therefore he should consume 8 slices of pizza and rent 8 movies per week.
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a math problem related to budget allocation and utility maximization. It provides a scenario where Tom has a weekly allowance and must decide how to spend it on pizza and movie rentals. The document includes a table of utility values and asks how many pizza slices and movie rentals Tom should consume to maximize his total utility. It also provides an answer to the question, explaining the calculations and the optimal consumption levels.
  
  Label: question-and-answer