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For 2000 through 2010, the number of units, N, produced by manufacturing plant can be modeled by N equals 2T +3, where en is measured in thousands of units and T is the number of years since 2000, the profit per unit, p, can be modeled by p=4t-3, where p is measured in dollars

User Tyralcori
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1 Answer

1 vote

Answer:

Total profit = p * number of unit per yr

Explanation:

Hi, the question is incomplete. You didn't provide the question we are to evaluate. Therefore, I would just explain how to determine the profit per unit sold for the year 2000 - 2010.

SOLUTION:

Year under focus = 2000 - 2010

N = the number of units produced by manufacturing plant. It is measured in thousands of units

N = 2T +3

T = number of years since 2000

p = profit per unit. It is measured in dollars

p=4T-3

From year 2000 to 2010, the manufacturing plant produced for 11years = 2000, 2001, 2002,...,2010

T (yrs) = 1, 2, 3,..., 11

We would calculate N for each yr in thousand. Our answer would be in thousand units

For yr 1: N = 2(1) + 3 = 5

That is 5,000 units

For yr 2: N = 2(2) + 3 = 7

That is 7,000units

For yr 3: N = 2(3) + 3 = 9

9,000units

For yr 4: N = 2(4) + 3 = 11,000units

For yr 5: N = 2(5) + 3 = 13,000units

For yr 6: N = 2(6) + 3 = 15,000units

For yr 7: N = 2(7) + 3 = 17,000units

For yr 8: N = 2(8) + 3 = 19,000units

For yr 9: N = 2(9) + 3 = 21,000units

For yr 10: N = 2(10) + 3 = 23,000units

For yr 11: N = 2(11) + 3 = 25,000

N in thousand for the 11 years:

p = 4T-3, per unit

Total profit (Tp)= p * number of unit per yr

p = 4(1) - 3 = $1 , Tp = 1 * 5000 = $5000

p = 4(2) - 3 = $5 , Tp= 5* 7000 = $35000

p = 4(3) - 3 = $9

p = 4(4) - 3 = $13

p = 4(5) - 3 = $17

p = 4(6) - 3 = $21

p = 4(7) - 3 = $25

p = 4(8) - 3 = $29

p = 4(9) - 3 = $33

p = 4(10) - 3 = $37

p = 4(11) - 3 = $41

User Sahal Nazar
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