Share
Explore BrainMass

The Sanders Garden Shop mixes two types of grass seed into a

The Sanders Garden Shop mixes two types of grass seed into a blend. Each
type of grass has been rated (per pound) according to its shade tolerance, ability to stand up to
traffic, and drought resistance, as shown in the table. Type A seed costs $1 and Type B seed costs
$2. If the 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? Which targets will be exceeded? How much will the blend cost?

Type A Type B
Shade Tolerance 1 1
Traffic Resistance 2 1
Drought Resistance 2 5

Solution Preview

View the attached solution for the graph.

This is what we have:

Type A Type B
Shade Tolerance 1 1
Traffic Resistance 2 1
Drought Resistance 2 5

A = the pounds of Type A seed in the blend
B ...

Solution Summary

The Sanders Garden Shop mixes two types of grass seed into a blend. Each
type of grass has been rated (per pound) according to its shade tolerance, ability to stand up to
traffic, and drought resistance, as shown in the table. Type A seed costs $1 and Type B seed costs
$2. If the 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? Which targets will be exceeded? How much will the blend cost?

Type A Type B
Shade Tolerance 1 1
Traffic Resistance 2 1
Drought Resistance 2 5

$2.19