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mariaramirez013
20.07.2019 •
Mathematics
Test tomorrow 33. mid town sports apparel has found that it needs to sell golf hats at $2.75 each to be competitive. it costs $2.12 to produce each hat, and weekly overhead is $3,000. a. let x be the number of hats produced each week. express the average cost (including overhead) of producing one hat as a function of x. b. solve algebraically to find the number of golf hats that must be sold each week to make a profit. support your answer graphically. c. how many golf hats must be sold to make a profit of $1,000 in one week. explain your answer.
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Ответ:
a. The total cost is the sum of variable and fixed cost. So the average cost of each hat is simply total cost divided by x:
ave cost = (2.12 x + 3000) / x
b. Total cost should be equal to Income:
2.12 x + 3000 = 2.75 x
Solve for x:
x = 4762 units
c. Profit is income minus total cost:
Profit = 2.75 x – (2.12 x + 3000)
1000 = 2.75x – 2.12 x – 3000
Solving for x:
x = 6439 hats
Ответ:
4/7
Step-by-step explanation:
To find the probability, we must first find the total number of golf balls. So 99+88+44 = 231 is our total. Now we must find the number of golf balls that are not a type A ball. This is just the total number of type B balls and type C balls. So 88+44 = 132. So the probability is 132/231. This simplifies to 12/21 or 4/7.