Respuesta :
The profit did Dernea gardening make from the sales of wheelbarrows last month is $1684.
What is profit?
Profit is the the difference of the selling price of an item and the cost of the item to produce and sell it.
Dernea gardening sells wheelbarrows.
The company employs two salespeople, each of whom earns a different commission per wheelbarrow sold, as shown in the table below.
A 3-column table with 2 rows. column 1 is labeled
- Salesperson Sold Commission/Sale
- Travis, 36 $7.50
- Gary. 48 $10.60
The Travis sold by company is 36 with commotion $7.50 and the Gray sold by company is 48 with commotion $10.60. Thus, the total profit of the company is,
[tex]P=36\times7.50+48\times10.60\\P=778.8[/tex]
The company's expenses last month, not counting production costs or commissions, totaled $524.24.
A wheelbarrow costs $6.94 to produce. Thus, the cost price to produce 84 (36+48) wheelbarrow is,
[tex]C=6.94\times84=582.96[/tex]
Total cost of company to sell a wheelbarrow are,
[tex]C=778.8+524.24+582.96=1886[/tex]
Wheelbarrow sells for $42.50. Thus, the selling price of 84 (36+48) wheelbarrow is,
[tex]C_s=42.50\times84\\C_s=3570[/tex]
Hence, the profit will be,
[tex]P=3570-1886\\P=1684[/tex]
Thus, the profit did Dernea gardening make from the sales of wheelbarrows last month is $1684.
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