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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?

Respuesta :

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

Step-by-step explanation:

altavistard

Answer:

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.