(1): list of variables, (2) function, (3) domain. 5,6 e Granola Company is inter
ID: 2329548 • Letter: #
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(1): list of variables, (2) function, (3) domain.
5,6
e Granola Company is interested in the proft that can be realized from producing and selling a box of organic granola cereal. It costs $3 to make each cereal and there are fixed costs of $250 related to this cereal. They plan to sell the cereal for 85. a) Define a model for the profit as a function of the number of boxes of cereal produced and sold. b) How much profit will be earned if 1,500 boxes of cereal are produced and sold? c) How many boxes of cereal were produced and sold if the profit is $6,510? 6. Dynamic Challenge is interested in the profit that can be realized from producing and selling a video ame. It costs $20 to make each game and there are overhead costs of $10,000 for development of this game. They plan to sell the video game for $35.95. a) Define a model for the profit as a function of the number of games produced and sold. b) How many games were produced and sold if the profit is $28,000? c) How much profit will be earned if 650 games are produced and sold?Explanation / Answer
Answer q 5) Given that - i sales price per cereal 5 ii Variable cost per cereal 3 iii=i-ii Contribution per cereal 2 Fixed cost 250 answer 5-a) profit model = (sales price - variable cost )*number of cereal - fixed cost =(5-3)*number of cereal - 250 =2*number of cereal -250 answer 5-b) Profit if 1500 boxes sold = =2*1500-250 Profit = 2750 answer 5-c) required profit = 6510 Fixed cost = 250 Total = 6760 boxes of cereal required to produce and sale = 6760/contribution per cereal 6760/2 3380 boxes of cereal Answer q 6) Given that - i sales price of video game 35.95 ii Variable cost per cereal 20 iii=i-ii Contribution per cereal 15.95 Fixed overhead cost 10000 answer 6-a) profit model = (sales price - variable cost )*number of video game sold - fixed cost =(35.95-20)*number of video game sold - 10000 =15.95*number of video game -10000 answer 6-b) required profit = 28000 Fixed cost = 10000 Total = 38000 games required to produce and sale to have required profit= 38000/contribution per game 38000/15.95 2,382 game answer 6-c) Profit if 650 games sold = =15.95*650-10000 Profit = 367.5
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