Knowee
Questions
Features
Study Tools

Lily has $20 to spend each week on fish and chicken. Fish costs $4 a serving and chicken costs $6 a serving. The table shows Lily's marginal utilities of fish and chicken. Lily will consume _______ servings of chicken and _______ of fish each week.Servings per week Marginal utilityChicken Fish1 70 452 60 403 50 354 40 305 30 25

Question

Lily has 20tospendeachweekonfishandchicken.Fishcosts20 to spend each week on fish and chicken. Fish costs 4 a serving and chicken costs $6 a serving. The table shows Lily's marginal utilities of fish and chicken. Lily will consume _______ servings of chicken and _______ of fish each week.Servings per week Marginal utilityChicken Fish1 70 452 60 403 50 354 40 305 30 25

🧐 Not the exact question you are looking for?Go ask a question

Solution

To answer this question, we need to understand the concept of marginal utility per dollar. This is calculated by dividing the marginal utility of a good by its price. Lily will consume the good with the highest marginal utility per dollar until her budget is exhausted.

Let's calculate the marginal utility per dollar for both fish and chicken for each serving:

For the first serving:

  • Chicken: 70 MU / 6=11.67MU/6 = 11.67 MU/
  • Fish: 45 MU / 4=11.25MU/4 = 11.25 MU/

For the second serving:

  • Chicken: 60 MU / 6=10MU/6 = 10 MU/
  • Fish: 40 MU / 4=10MU/4 = 10 MU/

For the third serving:

  • Chicken: 50 MU / 6=8.33MU/6 = 8.33 MU/
  • Fish: 35 MU / 4=8.75MU/4 = 8.75 MU/

For the fourth serving:

  • Chicken: 40 MU / 6=6.67MU/6 = 6.67 MU/
  • Fish: 30 MU / 4=7.5MU/4 = 7.5 MU/

For the fifth serving:

  • Chicken: 30 MU / 6=5MU/6 = 5 MU/
  • Fish: 25 MU / 4=6.25MU/4 = 6.25 MU/

From the calculations, we can see that the marginal utility per dollar is higher for chicken for the first two servings, and higher for fish for the third, fourth, and fifth servings.

However, we also need to consider Lily's budget. With $20, she can afford 5 servings of fish, or 3 servings of chicken and 1 serving of fish, or 2 servings of chicken and 2 servings of fish.

Given the marginal utility per dollar calculations, Lily will get the most utility by purchasing 2 servings of chicken (which costs 12)and2servingsoffish(whichcosts12) and 2 servings of fish (which costs 8). This way, she spends her entire budget of $20 and maximizes her utility.

So, Lily will consume 2 servings of chicken and 2 servings of fish each week.

This problem has been solved

Similar Questions

Karen owns a seafood restaurant. She orders trout from an online retailer. Each pound of trout costs $30, and the company charges a $2 fee for shipping the order. However, if Karen orders 10 or more pounds, the trout costs only $24 per pound, but the shipping fee is $6.Which piecewise function models the cost of x pounds of trout?

The cost for 2.8 pounds of shrimp is $19.46.Find the unit price in dollars per pound.If necessary, round your answer to the nearest cent.

On a 3-day fishing trip, 4 adults consumed food costing $60. For the same food costs per person per day, what would be the cost of food consumed by 7 adults during a 5-day fishing trip?

Joe paid $19.54 for a 3.56-pound bag of shrimp at one store. The following week, he paid $25.45 for a 4.48-pound bag at another store.Find the unit price for each bag. Then state which bag is the better buy based on the unit price.

Michael paid $15.54 for a 2.12-pound bag of shrimp at one store. The following week, he paid $33.89 for a 4.54-pound bag at another store.Find the unit price for each bag. Then state which bag is the better buy based on the unit price.Round your answers to the nearest cent.

1/1

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.