Suppose a farmer is selling fresh produce at a local farmers market. She sells a quart of strawberries for $3.50 and a head of lettuce for $1.25. She thinks she'll sell 75 items at most, but she hopes to make at least $150. How many quarts of strawberries and heads of lettuce can she sell to meet her goal?

Answer:Some farmers, such as cash grain farmers or dairy farmers, have large, well-established markets. They can use existing organizations to perform the marketing function for them, or they can band together, form a cooperative, and market their products jointly. Small-scale fruit and vegetable growers generally have more difficulty finding established markets; therefore, they usually develop marketing systems tailored to their unique situations.

Major Markets

Fruits and vegetables are produced seasonally, but the market requires products throughout the ye

The farmer must sell at least 25 quarts of berries and 50 heads of lettuce to take in $150 or more for the day.

Step-by-step explanation:

Revenue = (unit cost) (number of units)

The unit cost for quarts of strawberries is $3.50; represent the number of quarts sold by q.

The unit cost for heads of strawberries is $1.25; represent the number of quarts sold by h.

Then q + h = 75 (items); we could solve for q in terms of h, obtaining

q = 75 - h.

Total revenue is then

($3.50/quart) q + ($1.25/h) h ≥ $150

Then 3.50q + 1.25 (75 - q) ≥ 150, or

2.25q + 93.75 ≥ 150, or

2.25q ≥ 56.25

Solving for q, we divide both sides by 2.25, obtaining q ≥ 25.

Since q + h = 75, h = 75 - q, or 75 - 25, or h = 50.

The farmer must sell at least 25 quarts of berries and 50 heads of lettuce to take in $150 or more for the day.