High School

Take A Seat manufactures sofas. Each sofa requires 21 linear feet of lumber and 96 square feet of material and cushioning to manufacture. There is currently 147 linear feet of lumber, 493 square feet of materials and 11 finished sofas in inventory. Lumber sells for $1.00 per linear foot and materials sell for $4.00 per square foot. For the upcoming month of April, 2021, Take A Seat plans to sell 52 sofas.


At the end of the month, Take A Seat would like to have 98 linear feet of lumber, 296 square feet of materials and 6 sofas in inventory.


Create production and purchases budget for the month of April.


Do not enter dollar signs or commas in the input boxes.

Round all answers to 2 decimal places.

Use the negative sign for any values that must be subtracted.

Take A Seat

Production Budget

For the Month of April, 2021

Sofa Lumber Material

Budgeted Sales Volume Answer Budgeted Production Units Answer Budgeted Production Units Answer

Budgeted Ending Inventory Answer Lumber per Sofa Answer Materials per Sofa Answer

Budgeted Beginning Inventory Answer Budgeted Lumber to be Used (ft) Answer Budgeted Material to be Used (sq ft) Answer

Budgeted Production Units Answer

Budgeted Lumber to be Used (ft) Answer Budgeted Materials to be Used (sq ft) Answer

Budgeted Ending Inventory Answer Budgeted Ending Inventory Answer

Budgeted Beginning Inventory Answer Budgeted Beginning Inventory Answer

Lumber to be Purchased (ft) Answer Materials to be Purchased (sq ft) Answer


Take A Seat

Purchasing Budget

For the Month of April, 2021

Lumber to be Purchased (ft) Answer

Budgeted Lumber Cost (per ft) Answer

Budgeted Lumber Cost Answer

Materials to be Purchased (sq ft) Answer

Budgeted Material Cost (per sq ft) Answer

Budgeted Materials Cost Answer

Total Budgeted Purchase Cost Answer

Answer :

Final answer:

The quantity 3v + 5w is 4j - 6k.

Explanation:

To find the quantity 3v + 5w, we need to multiply each component of v by 3 and each component of w by 5, and then add the corresponding components together.

Given:

  • v = 5i - 2j + 3k
  • w = -3i + 2j - 3k

Multiplying each component of v by 3:

  • 3v = 3(5i) - 3(2j) + 3(3k)
  • 3v = 15i - 6j + 9k

Multiplying each component of w by 5:

  • 5w = 5(-3i) + 5(2j) - 5(3k)
  • 5w = -15i + 10j - 15k

Adding the corresponding components together:

  • 3v + 5w = (15i - 6j + 9k) + (-15i + 10j - 15k)
  • 3v + 5w = (15i - 15i) + (-6j + 10j) + (9k - 15k)
  • 3v + 5w = 0i + 4j - 6k

Therefore, 3v + 5w = 4j - 6k.

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