The Sanders Garden and Horticultural Shop is preparing a custom grass seed blend for one of its
Question:
The Sander’s Garden and Horticultural Shop is preparing a custom grass seed blend for one of its commercial clients. The custom blend is created by mixing two types of grass see, simply denoted as seed A and seed B. Each type of grass (A and B) has been rated (per pound) according to its shade tolerance, ability to stand up to traffic, and drought resistance, as shown in the table below. Type A seed costs $1 and Type B seed costs $2. If the custom blend needs to score at least 300 points for shade tolerance, 400 points for traffic resistance, and 750 points for drought resistance, how many pounds of each seed should be in the blend to minimize costs?
Table 1: Relevant constraint information
Type A | Type B | |
Shade Tolerance | 1 | 1 |
Traffic Resistance | 2 | 1 |
Drought Resistance | 2 | 5 |