Linear Algebra: Find bases for the kernel and range for the linear transformation T:R^3 to R^2 defined by T(x1, x2, x3) = (x1+x2, -2x1+x2-x3). We solve by finding the corresponding 2 x 3 matrix A, and find its null space and column span.
Several types of expenses affect profits for a business including equipment costs, inventory and facilities costs. There are two main categories for all business expenses: operating expenses and overhead expenses. The costs that fall into each category depend on the nature of the business. Essentially, operating expenses are directly related to production, while overhead expenses are the costs to run the business. Operating expenses include materials, labor and machinery used to make a product or deliver a service. For example, a soda bottler has the cost of aluminum for cans, machinery costs and labor costs.
6 things to know about facility fees. More than ever before, patients want to know the charges associated with their care, as they take on a greater share of their healthcare costs with higher deductibles and co-pays. One expense patients are becoming more aware of is a facility fee, according to a Daily Item report. Here are six things to know about facility fees. 1. Facility fees allow a healthcare organization to bill patients a service charge for the patient's use of hospital facilities and equipment. In some cases, a patient may be responsible for the service bill if their insurance declines to pay or if the patient has a high deductible health plan.