A Missouri job shop has four departments machining (M), dipping in a chemical bath (D), finishing (F), and plating (P) assigned
to four work areas. The operations manager, Mary Marrs, has gathered the following data for the movement of material. The number of workpieces moved yearly between work areas are:
M D F P
M - 800 2,000 200
D - - 400 400
F - - - 2,000
P - - - -
It costs $0.75 to move 1 workpiece 1 foot in the job shop. For the layout design of the job shop,
LAYOUT PLAN A:
Distance between work areas (departments) in feet:
M D F P
M - 21 12 8
D - - 5 10
F - - - 4
P - - - -
The yearly total material handling cost of the current layout presented in PLAN A_____________.
M D F P
M - 800 2,000 200
D - - 400 400
F - - - 2,000
P - - - -
It costs $0.75 to move 1 workpiece 1 foot in the job shop. For the layout design of the job shop,
LAYOUT PLAN A:
Distance between work areas (departments) in feet:
M D F P
M - 21 12 8
D - - 5 10
F - - - 4
P - - - -
The yearly total material handling cost of the current layout presented in PLAN A_____________.
1 answer:
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Answer:<u><em> Price per ticket should be charged in order to maximize revenue is $15.</em></u>
<u><em>70000 people will attend at this price.</em></u>
<u><em></em></u>
Explanation:
Let 'x' represent the decrease .
Using the given information,
Price per ticket = 24 - 3x
Average no. of people that watch the game = 40000 + 10000x
Additional money spent by every person = 6(40000 + 10000x)
Revenue [R(x)] = Price per ticket Average no. of people that watch the game + Additional money spent
Revenue [R(x)] = (24 - 3x)(40000 + 10000x) + 6(40000 + 10000x)
On solving the above equation we get ,
Revenue [R(x)] = -30000 + 180000x + 1200000
In order to find the critical point we'll differentiate the following with respect to x;
R'(x) = -60000x + 180000
∵ R'(x) = 0
x = 3
<u><em>Thus, the price per ticket that should be charged in order to maximize revenue is (24 - 33 = 24 - 9 = $15)</em></u>
<u><em>People that will attend at this price = (40000 + 100003) = 70000</em></u>