Anthem Blue Cross wants people to eat better. And to help its members make more healthful food choices, the insurance giant is sending out money-saving coupons.

For ice cream.

And processed sandwich meat.

And mayonnaise. And canned vegetables.

And, strangely, deodorant.

The coupon campaign is being tested among thousands of Anthem members in California. If it proves popular, the coupons will probably be offered nationwide.

"We want you to know that we're much more than just your health plan," the insurer declares in its letter accompanying the coupons. "We're your partner in helping you get and stay as healthy as possible."

Eating well is important for lowering your risk of high blood pressure, heart disease, diabetes and strokes, the company says.