Window Help Finite Mathematics Fall 2017-Section 40 Mackenze Mackenzle Sample &1

Question

Window Help Finite Mathematics Fall 2017-Section 40 Mackenze Mackenzle Sample &1021/17 1028 PM Quiz: Chapter 5 Quiz Time Remaining: 0032-31 Submit Quiz This Question: 8 pts This Quiz: 50 pts possible makes two types of water skis, a tick ski and a sialom ski. The ievant manufacturing data are given in the table Maximum Labor Hours Availabie per Day parts (A) (B) and (C) below ft on a trick sk is $50 and the profit on a sialom sk is $60, how many of each type of ski shouid be manufactured each day to reakze a maximum profi What is the maximum proft? The maximum prof t is S The maomam ocours when trick skis and r Isaom skis are produced (B) Discu tho efect on he podchon schedule and the manmum proe , te po"onaliom ski dereases to SSS The maximum profe C) Disouss the effect on the production schedule and the maximum proft if the proft on a siaiom ski increases to $70 The maximum proft f] The maurnum ooon whentrek Skis rdsla om skis are produced I s. The muerum occurs whentrek sks andslao" skis are produoed. Enter your answer in each of the answer boxes 21 MacBook Air

Explanation / Answer

let trick ski produced = x

slalon skis = y

constariants are

8x + 6y <= 168

x+ y < = 24

profit function is

P = 50x + 60y

solving the inequality for maximum profit

maximum profit is $ 1440 when 0 trick ski and 24 slalom skis are poduced

when slalom ski decreased to $ 55

new profit function is

P = 50x + 55y

maximum profit now is

$ 1320 when 0 trick skis and 24 slalom skis are produced

when slaom ski is increased to $ 70

new profit function is

P = 50 x + 70 y

maximum profit is $ 1680 when 0 trick ski and 24 slalon ski is produced

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