A farmer with seven daughters is budgeting the food and medical expenses they will incur to care for their herd of cows over a two-week period. The herd consists of adult mother cows and their calves.
Each of the farmer’s daughters has seven plows, each plow is pulled by seven mother cows, and each mother cow has seven calves.
The farmer and his daughters know the following:
- Out of all those mother cows, two-sevenths are still nursing their calves, while five-sevenths of the mothers have weaned their calves.
- Nursing mothers eat more, so they each need 8 ounces of solid cow food a day. The other mothers need only 6 ounces a day.
- The weaned calves each need 2 ounces of food a day, while the calves still being nursed don’t eat any solid food.
- The family pays $1.02 per pound of solid cow food.
- During this two-week period, each calf has to be vaccinated. The cost of the vaccination is $14 per calf.
What will be the total amount paid to feed and vaccinate the cows during this two-week period?