A triangular prism is the shape
the two triangles are opposite each other and they are connected with 3 rectangles and that makes it a triangular prism because it is 3D and triangularly shaped - I’m not sure how else to explain it
Answer:
in picture
Step-by-step explanation:
— Round tables will have 6 chairs, rectangular tables will have 10 chairs, the total number of chairs must be at least 185: 6x +10y ≥ 185
— There be no more than 15 rectangular tables: y ≤ 15
— No fewer than 6 round tables: x ≥ 6
— Rectangular tables must be at least 1/3 the number of round tables: y ≥ (1/3)x ⇒ 3y ≥ x
The Profit = Revenue - CostP ( x ) = ( 40 x - 0.5 x² ) - ( 5 x + 15 ) = = 40 x - 0.5 x² - 5 x - 15 = - 0.5 x² + 35 x - 15The maximum profit is when: P`( x ) = 0P ` ( x ) = ( - 0.5 x² + 35 x - 15 ) ` = - x + 35- x + 35 = 0x = 35 ( the number of units )P max = - 0.5 · 35² + 35 · 35 - 15 = - 612.5 + 1225 - 15 = 597.5Answer: The maximum profit is 597.5 and the number of units is 35.
