Question

please solve all of these questions

23 A company produces fishing boats. It may produce a maximum of 30 per month. We admit that the whole production is sold and total sales are expressed in millions LL Three functions are represented in the adjacent figure: The curve (C) represents the function f A) defined by fx48 where x E [0;30] which expresses the total cost of production of x boats by the company The line (represents the function 3x where xE [0;30] defined by r(x) which expresses the revenue when selling x boats with a unit price of 3 millions LL 50 * The line (A) represents the function R which expresses the revenue when selling boats with a unit price of 10 millions LL 0 2 1e Using the graph explain why selling boats at a price of 3 millions LL is not a good choice by the company sell each boat for 10 millions LL According to that , the company decides to 20 a) Verify that R(25) 250. b) Express the revenue R(x) in terms of x. 3° Using the graph, for what number n of boats produced and sold , does the company realize a profit 4° Express the profit Box) in terms of x . d set the table of variations of B over [0: 30] Three functions are represented in the adjacent figure: . The curve (C) represents the function J A) where x E [0:30] defined by f(x) =-+ 48 which expresses the total cost of production of x boats by the company The line (9) represents the function r defined by r(x)3x where x E [O;30] which expresses the revenue when selling x boats with a unit price of 3 millions LL 50 . The line (A) represents the function R which expresses the revenue when selling x 0 2 t. boats with a unit price of 10 millions LL 1° Using the graph explain why selling boats at a price of 3 millions LL is not a good choice by the company According to that , the company decides to sell each boat for 10 millions LL。 20 a) Verify that R(25) 250 b) Express the revenue R(x) in terms of x 3 Using the graph, for what number n of boats produced and sold , does the company realize a profit 4° Express the profit B) in terms of 5° a) Calculate B'(x) and set the table of variations of B over [0;30] b) Determine the number of boats that should be produced by the company each month for which the profit is maximum. Calculate in this case the profit amount

Answer 1

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