A florist designs two high-profit arrangements— a funeral wreath and a bridal centerpiece. The company’s employees can complete up to 18 arrangements each day using up to 24 total person-hours of labor. It takes 4 person-hours to complete 1 funeral wreath, and 1 person-hour to complete 1 bridal centerpiece. How many of each type of arrangements should the florist produce daily for maximum profit, if the profit on a funeral wreath is $75and the profit on a bridal centerpiece is $40?

Solution :

Given

P = 75 x + 40 y

The constraints are

.........(i) and          

.......(ii)

Solving (i) and (ii), we get

x = 2 and y = 16

Now

  (total arrangement less than equal to 18)

  (total person hours less than equal to 24)

Maximum profit = 75 (2) + 40(16)

                          = 790

From the graph, the point of intersection and points that is plotted in between numbers between the 10 units on x-axis and y-axis are used in the graph.

So,

 became

  became  

  became  

 became  

So now the profit at point (0, 18) = 75(0)+40(18) = 720

Profit at point (6,0) = 75(6)+40(0) = 450

Profit at intersection point (2,16) = 75(2)+40(16)

                                                     = 150 + 640

                                                     = 790

Maximum profit = 790

So maximum profit is attained when 2 wreath are built and sold and 18 center pieces are built and sold.      

answer; 20% is your answer;

the answer is i don't know