Step-by-step explanation:
8(4x+6) -58 = 2(7x+31)
32x + 48 - 58 = 14x + 62
32x -10 = 14x +62
32x - 14x = 62+10
18 x = 72
x = 72 /18
x = 4
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Answer: at least, 2931 board feet
Step-by-step explanation:
Let x represent the number of board-feet of lumber yards that is produced and sold in a day
The lumber yard has fixed costs of $3810.30 per day and variable costs of $0.91 per board-foot produced. It means that the cost of producing x board-feet of lumber yards is
0.91x + 3810.3
Lumber sells for $2.21 per board-foot. It meas that the revenue from selling x board feet of lumber yard is 2.21x.
Profit = Revenue - total cost
In order to make profit, Revenue must be greater than total cost. Therefore,
2.21x ≥ 0.91x + 3810.3
2.21x - 0.91x ≥ 3810.3
1.3x ≥ 3810.3
x ≥ 3810.3/1.3
x ≥ 2931
The number of board-feet of lumber yard that must be sold to make profit is at least 2931
First figure out his total bill by adding up what he buys.

Now subtract the discount of $20 since his purchase was above $100:
Step-by-step explanation:
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Answer:
the answer is 29
Step-by-step explanation: