Вопрос:

In the apartment, it is planned to replace the tiles in the hallway and corridor. The cost, delivery, and installation conditions in different stores are given in the table. How much will the cheapest option cost, including delivery and installation, if the tiles are 20 cm x 50 cm and sold in packs of 14 pieces? The grid size is 1 m x 1 m.

Смотреть решения всех заданий с листа

Ответ:

Calculation of Tile Needs and Costs:

  • First, determine the area of the hallway and corridor. Based on the provided grid, where each cell is 1m x 1m, we need to count the cells corresponding to the hallway and corridor. From the diagram, the hallway/corridor area includes rooms labeled 3, 6, 4, and the connecting passages. Let's assume room 3 is the hallway and room 6 is the corridor. The area would be roughly 2x2 for room 3 and 1x2 for room 6, plus the connecting areas. A more precise count from the diagram suggests: room 3 (2x2=4 cells), room 6 (1x2=2 cells), room 4 (1x1=1 cell), and the connecting paths. The dashed lines indicate possible extensions or other rooms, but the question focuses on the hallway and corridor. A conservative estimate of the hallway/corridor area would be around 10-12 square meters. Let's assume for calculation purposes the total area of the hallway and corridor is 10 m².
  • Calculate the number of tiles needed. The tiles are 20 cm x 50 cm. The area of one tile is 0.2 m * 0.5 m = 0.1 m².
  • Number of tiles = Total Area / Area per tile = 10 m² / 0.1 m² = 100 tiles.
  • Since tiles are sold in packs of 14, calculate the number of packs needed: 100 tiles / 14 tiles/pack ≈ 7.14 packs. You must buy whole packs, so 8 packs are needed.
  • Total number of individual tiles to purchase: 8 packs * 14 tiles/pack = 112 tiles. (This accounts for potential waste and ensures enough tiles).

Cost Analysis per Store:

Store A:

  • Tile cost: 1150 rubles/piece * 112 tiles = 128,800 rubles.
  • Delivery cost: 700 rubles.
  • Installation cost: 800 rubles/m² * 10 m² = 8,000 rubles.
  • Total cost for Store A = 128,800 + 700 + 8,000 = 137,500 rubles.

Store Б:

  • Tile cost: 1200 rubles/piece * 112 tiles = 134,400 rubles.
  • Delivery cost: 500 rubles.
  • Installation cost: 700 rubles/m² * 10 m² = 7,000 rubles.
  • Total cost for Store Б = 134,400 + 500 + 7,000 = 141,900 rubles.

Store B:

  • Tile cost: 1100 rubles/piece * 112 tiles = 123,200 rubles.
  • Delivery cost: 600 rubles.
  • Installation cost: 850 rubles/m² * 10 m² = 8,500 rubles.
  • Total cost for Store B = 123,200 + 600 + 8,500 = 132,300 rubles.

Store Г:

  • Tile cost: 1170 rubles/piece * 112 tiles = 131,040 rubles.
  • Delivery cost: 550 rubles.
  • Installation cost: 750 rubles/m² * 10 m² = 7,500 rubles.
  • Discount: 5% on total cost for purchases over 150 items. Since we are buying 112 tiles, this discount does not apply.
  • Total cost for Store Г = 131,040 + 550 + 7,500 = 139,090 rubles.

Determining the Cheapest Option:

  • Store A: 137,500 rubles.
  • Store Б: 141,900 rubles.
  • Store B: 132,300 rubles.
  • Store Г: 139,090 rubles.
  • The cheapest option is from Store B at 132,300 rubles.

Ответ: 132 300

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