To find the cost of manufacturing 100 bags, we substitute x with 100 in the expression: 10,000 + 0.5x

Question

Cost of manufacturing 100 bags = 10,000 + 0.5(100) = 10,000 + 50 = $10,050

To find the cost of manufacturing 150 bags, we substitute x with 150 in the expression: 10,000 + 0.5x
Cost of manufacturing 150 bags = 10,000 + 0.5(150) = 10,000 + 75 = $10,075

The earnings from selling x number of bags can be calculated by multiplying the number of bags sold (x) by the selling price of each bag ($150).

Algebraic expression for the company's earnings: 150x

To find the company's profit from selling 100 bags:
Profit = Earnings - Cost of manufacturing
Profit = (150 x 100) - (10,000 + 0.5 x 100)
Profit = 15,000 - (10,000 + 50)
Profit = 15,000 - 10,050
Profit = $4,950

To find the company's profit from selling 150 bags:
Profit = Earnings - Cost of manufacturing
Profit = (150 x 150) - (10,000 + 0.5 x 150)
Profit = 22,500 - (10,000 + 75)
Profit = 22,500 - 10,075
Profit = $12,425

Algebraic expression for the company's profit: 150x - (10,000 + 0.5x)

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Answer 1

To calculate the cost of manufacturing 100 bags, we need to use the equation: 10,000 + 0.5x. By substituting x with 100, we can find the cost. So, the cost of manufacturing 100 bags would be $10,050.

Similarly, for 150 bags, we substitute x with 150 in the given expression: 10,000 + 0.5x. Consequently, the cost of manufacturing 150 bags would be $10,075.

Now, let's look at the earnings from selling a certain number of bags, which can be determined by multiplying the number of bags sold (x) by the selling price of each bag ($150). In this case, the algebraic expression for the company's earnings would be 150x.

Finally, to find the company's profit from selling 100 bags, we subtract the cost of manufacturing from the earnings. So, the profit would be (150 x 100) - (10,000 + 0.5 x 100), which equals $4,950. Similarly, for 150 bags, the profit would be (150 x 150) - (10,000 + 0.5 x 150), resulting in $12,425.

Therefore, the algebraic expression for the company's profit would be 150x - (10,000 + 0.5x).