QuestionA farm planted with $A$ acres of corn yields $b$ bushels per acre. Each bushel brings $\$ p$ at market, and it costs $\$ c$ to plant and harvest an acre of corn. What do the expressions $c A$ and $p b$ represent for the farm? $c A$ is $\square$ $p b$ is $\square$

Studdy Solution

STEP 1

1. The farm planted $A$ acres of corn.
2. Each acre yields $b$ bushels.
3. Each bushel is sold for $\$ p$ .
4. It costs $\$ c$ to plant and harvest one acre of corn.

STEP 2

1. Determine what the expression $c A$ represents.
2. Determine what the expression $p b$ represents.

STEP 3

The expression $c A$ represents the total cost to plant and harvest $A$ acres of corn. Since it costs $\$ c$ to plant and harvest one acre, the total cost is:
$\text{Total cost} = c \times A$

STEP 4

The expression $p b$ represents the revenue from selling the corn produced from one acre. Since each acre yields $b$ bushels, and each bushel brings $\$ p$ , the revenue from one acre is:
$\text{Revenue per acre} = p \times b$
The expressions are as follows: $c A$ is the total cost to plant and harvest $A$ acres of corn. $p b$ is the revenue from selling the corn produced from one acre.

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